Kai;
according to Keegan you are right,
p84

"...what they believed to be 90,000 enemy troops in an encirclement 200 miles in circumference.
...
"It was at least two and a half times that number.
...
Fifty-Seventh Panzer Corps was across the Aksai and reached the River Mishov, within 30 miles of the seige front (19 Dec)."