yes I agree with the PVA,I did my garage floor in the UK a good  few years ago I bought some concrete floor stabiliser relay strong smelling thinners type stuff it penetrates deep but, was quite dear around £25 ishI  then painted with floorpaint.
but I am sure PVA mix will be OK ,is the floor damp proofed?if not will prob not work that well,but still worth a try.