Do you mean a True Thru-Hull transducer that mounts under the hull via a one-inch hole through the hull? If yes than look at the XPTH-9-QB-90-T for the plastic version and XBTH-9-QB-90-T for the Bronze version.
If you meant the inside-the-hull type transducer than look at the XP-9-QB-90-T
You cannot use one of the Y-splitter cables with the QuadraBeam transducers (if you were planning on connecting it to the DualBeam side of this cable). The way that the AS-Si-DB-Y cable is made it will not make connection to the extra side beams of the QuadraBeam transducer when it is connected.
[Now you could connect it to the Side Imaging side of this cable and it would only use the side beams and the temp of the QuadraBeam transducer.]