Using a time capsule to extend a fios router?

I know this topic has been covered many times, but I seem to have trouble finding my answer to my exact questions. I have verizon fios wireless router that they provided with the service. We have a large house with the fios router at one end. At the opposite end, the signal is very weak. I want to use my time capsule to extend the network to the other end of the house. Is this possible without connecting a long ethernet cord and placing the TC at the other end of the house. My ideal situation would be to plug the TC into the wall at opposite end of the house of the Fios router and have it connect to the Fios router and extend the wireless connection...is this possible? If not, can someone please solve my problem?