Adam,
Nolan gave you a good reference. I came from a sound engineering background, and there are a few other tricks you can use to make it better (not fix entirely). Your biggest problem is that the unboard mics are not as close as the lapel mic to the sound source and therefore they pickup the room ambience (reflections, echos, reverb, etc). The other problem is that they pickup the noise of others or other things in the room in addition to the sound of your subject. You cannot completely fix it, but you can make it better. First, you could use the Background Noise Removal in the Audio Enhancements as Nolan points out. This can be a good first step. Personally I have found that it seems to take out some of the lower volume levels of my subjects speech as well so I need to use something in addition to it or rather than it often. Here's what I do ...
Click on your audio clip, or the video clip that contains the audio. Then look at the Inspector under the Audio tab. Then, in the Audio Enhancements section click on the little sound mixer icon to the right of Equalization. A sound mixer EQ window will come up. Click on the 10 Band and choose 31 band instead. Pull down every slider from 125 HZ and lower to about -5 to -6dB. This will take some of your bass out, but that is where most of the room echos reside, and therefore this is a crucial step to reducting room noise.
Second, boost 3.1K (3,100 HZ) by about 5.5dB. This is an area that sound engineering people know makes the voice cut through the mix of other frequencies and gives the impression the speaker is more energetic or excited about what they are saying. Thirdly, if it is a male speaker, boost the area at 250HZ by about 5 dB. If is is a female, boost the area at 350 HZ by about 5dB instead. Then pull down the 16 HZ area by about 6dB and boost up the 20K to 22K area by about 5dB. This former will help get rid of some of the background noise, while the latter will boost what we call presence and make it seem like the speaker is closer to the microphone.
Finally, you can also reduce 6KHZ and 12KHZ by about 4 to 5dB if they help in your particular situation. Then, one last trick is that, if it is appropriate in your project, put some sort of faint music or sound background there with the voice on another "track" (connected clip). This will draw attention away from the background noise in the speaker's track and the listener will switch back to the speaker when the speaker is saying something. Anyway, like I said ... it really cannot be fixed ... but it can be improved. Best wishes.
stephen