That seems to discount the passive subwoofer crossovers in the link I posted.You have a problem if you have a stereo amplifier but only one sub speaker. The sub needs to have its own mono amplifier because you cannot connect the left speaker and the right speaker outputs together to get mono for the sub.
You have another problem because you do not have a low level signal to feed the amplifier for the sub, then your stereo speakers will also play (and maybe get damaged) the very low and powerful sub frequencies. The stereo amplifier usually has highpass filters at its inputs.
I put together a crossover circuit that feeds the inputs of your three power amplifiers: