Hi Abbas,
Yes, the PEs will propogate the routes to the RR, here is how:
iBGP routers are divided into Route Reflectors, Route Reflector clients and non-client Peers.
Routes received from a Route-Reflector-client is reflected to other clients and non-client neighbors.
Routes received from non-client neighbors are reflected to Route-Reflector-client neighbors only.
Also, if you only have 3 routers, you can logically fully mesh them together and not worry about RR.
HTH
Reza