Holesaw

I am trying to drill a couple of holes in my ceiling for spotlights in the bathroom. I have the right size hole saw and Arbor to fit, However the Arbor is to big to fit into the chuck of my Power drill. It's a basic black and decker power drill. The Arbor is from Toolstation and is Holesaw Arbor Hex 32 - 152mm and the Holesaw is 104mm I believe. Basically is there any item or tool that would allow me to fir the arbor to the drill? Besides getting a new drill.