Step 1: Identify the muscle group. The pelvic floor sling is the levator ani, made of three named slips: pubococcygeus, iliococcygeus, and ischiococcygeus.
Step 2: Focus on which slip wraps the urogenital organs. Only the pubococcygeus reaches forward to the midline organs. Its front-most fibres curl around the prostate in the male, and this specialised cuff is named the levator prostatae - the direct muscular support of the gland.
Step 3: Note the female counterpart for confirmation - the same anterior pubococcygeus fibres become the sphincter vaginae, proving this slip is the one related to the pelvic organs.
Step 4: Eliminate the rest. Iliococcygeus runs to the anococcygeal raphe and coccyx, and ischiococcygeus (coccygeus) backs the floor posteriorly - neither contacts the prostate. The supporting part is therefore the pubococcygeus.
\[\boxed{\text{Pubococcygeus (forms levator prostatae)}}\]