Is electrical already in the ceiling for lights? It appears to be new construction in photos. I would go off of that first... only due to what spacing might be set up as already. Personally I would go with 2 larger or 3 smaller ones. It doesn't look like there is any seating from the photo so they wouldn't be in way from that perspective. Just line of sight from the rest of the kitchen outwards.

It is a large kitchen and completely open to the family room. The center island is 128" (we refer to it as the cooking island). There are also perimeter cabinets and a 48" gas range. The hardwood floors are being installed now and the cabinets will be installed in about a week, so I don't have a good picture yet to capture the size of the space. We have 10 foot ceilings and an entire wall of windows, so everything is very open. I have attached a picture from a few weeks ago. It is from the perspective of the kitchen looking into the family room. The "island" you see is just the support for what will be the raised portion of the island (the bar top). I hope this helps.

yikes. i dont know what you decided in the end, but i would have gone with a huge, single light fixture over the island - like those ones with multiple globes. not 3 piddly lights. they would just be dwarfed in all that extra overhead space.

I think one might be too few. Did you see this picture on the PB site that someone posted in reviews of the lights in their space? Their island looks like it might be the same size as yours. Theirs is clear so it visually takes up less space, but I think two will look nice over your island.