Can someone please tell me how to hook up the sub woofer that came with our Panasonic VSX-305 Home Theatre System when the back of the receiver that came with it does not show a place to plug it into? This is becoming very frustrating as the manual shows a diagram for the VSX-405 which has a plug in but does not show any diagrams for the VSX-305. Much appreciated.

I'd love to try to help but I can not find any vsx-305 receiver or home theater system on the Panasonic web site. I can find both vsx-305/vsx-405 in Pioneer though.

There is no subwoofer out on the Pioneer vsx-305, but there is in the Pioneer vsx-405, as you said.

Please double check the model and give me the model number of the entire system so I can find it.

The manual covers both the VSX 305 and 405/6. The later models (400 series) have facilities to connect a sub-woofer. The VSX 305 does not. Recommend you find a sub-woofer that operates off speaker level inputs and connect your center channel speaker outputs to the sub-woofer then on to the center channel speaker. Mine works great.

What concerns me is:
... the sub woofer that came with our Panasonic VSX-305 Home Theatre System ...

If you were sold the sub-woofer along with the [Pioneer?] surround system, then either the vendor has cheated you (in which case you should go back to them for a full refund, and go elsewhere), or the sub-woofer is one that can work with the VSX-305.

There are passive sub-woofers (e.g. the BIC America C-10 PAS) that have both input and output speaker terminals for left and right speakers. You would run wires from the amplifier's L and R Front speaker terminals to the sub-woofer's corresponding INPUT terminals, then more wires from the sub-woofer's OUTPUT terminals to your front left and right speakers.

Capacitors inside the sub-woofer block low frequencies from reaching the front L and R speakers, those low frequencies (bass) being handled by the passive sub-woofer.

Let us know if your sub-woofer looks like one of these passive types.

Daniel