Looking at a globe, you'd probably guess that this theoretical point is located in the Southern Pacific, north of Antarctica and between South America and New Zealand. (Excellent guess, by the way.)
Taking into account the smaller islands dotting this stretch of water, Point Nemo is located roughly at the coordinates 48°00' S, 123°00' W.
It is around 1,450 nautical miles from this spot to:
• Ducie Island, in the Pitcairn Island Group,
• Motu Nui, an island off the SW coast of Easter Island and
• Maher Island, a speck of land north of Siple Island, which itself gets cozy with Antarctica via the Getz Ice Shelf.
You could think of Point Nemo as the official Middle of Nowhere, Water Version, and an awe-inspiring place to find oneself. For the modern solo sailor, his or her closest "neighbors" at Point Nemo may very well be orbiting astronauts.