Extend Polygon to fill the gap between two Polygons

[GlenOlli]

So I have the following layer as a Polygon feature. Each polygon should be extended in order to fill the white gap. Lets say the big white gap should be filled by the polygons that are on each side. Is there any automated way of doing this without making edits one by one.

[m3]

Many years later, you could buffer the polygons and use the Remove Overlap tool with centerline as the option. Then dissolve the buffers back to the parcels(?)

The only problem with this method is that Remove Overlap doesn't remove all overlaps and leaves many leftovers that you have to fix manually.  You'll also find that doing a buffer much larger than you would imagine does a better job of removing overlaps than smaller buffers.