A hydraulic coupling system includes an adapter, a shell mill, a threaded member, and a chucking membrane. The adapter includes a tapered pilot disposed on and extending from an end face. The shell mill includes a central counter bore for enabling the pilot of the adapter to be inserted therein. The threaded member includes at least one sealing member and is capable of being threaded into a threaded bore of the shell mill. The chucking membrane includes an intermediate portion disposed between two flanges and forms a fluid-tight channel for hydraulic fluid. The chucking member has a tapered inside surface. When the threaded member is threaded into the shell mill, the tapered surfaces of the pilot and the chucking membrane cause an axial force to seat the end face of the shell mill firmly against the end face of the adapter.