I asume this is a series of connected garages, right?
If so, I'd try some cheap earth surface applied compaction, such as a fully loaded quad axle dump truck giving at least two tire tracks per each area. Drive in lowest gear at low speed.
Then use a "slab-on-grade" as the foundation, reinforced with something better than roll-out netting. If a structural engineer is involved, tell them to design for any area 3 meters square as having nothing under it.
This is a cheap, reasonably suitable treatment.
Another way, can you dig up enough nearby fill material to "roll" a surcharge over the site? That will give some compaction to the fill. Ideal surcharge height is at least 3 meters.
This also is a cheap procedure, but not as good as the replacement and compaction procedure mentioned above by CivilPerson.
Owners of projects like this should be told what risks are there for different alternative treatments. When given these facts, I have never had one backfire with a complaint or court battle over these cheaper treatments. Matter of fact, I usually am surprised at how well they work.