Solutions were sent in by jkmclean,Art Mires, Reuben Fries, David Yamanishi, Bjorn, A Kadakia, James Lewis Melby,
Jeremy Galvagni, Bob Kraus, Nick Baxter, Igor Krivokon, John Gowland, and Alexey Vorobyov.

Answer: 967262769 = 979 x 989 x 999

967262769 = 979 x 989 x 999
1357887531 = 1001 x 1111 x 1221
1030506050301 = 10001 x 10101 x 10201
996972060279699 = 99799 x 99899 x 99999

101 * 111 * 121 = 1356531
101 * 111 * 131 = 1468641
101 * 111 * 202 = 2264622
101 * 111 * 212 = 2376732
101 * 121 * 202 = 2468642
101 * 111 * 222 = 2488842
101 * 111 * 303 = 3396933
151 * 272 * 616 = 25300352
161 * 383 * 484 = 29844892
161 * 303 * 858 = 41855814
161 * 333 * 858 = 45999954
272 * 363 * 474 = 46800864
292 * 363 * 454 = 48122184
121 * 555 * 797 = 53522535
101 * 555 * 979 = 54877845
111 * 505 * 979 = 54877845
121 * 585 * 777 = 54999945
181 * 606 * 616 = 67566576
242 * 292 * 959 = 67766776
252 * 484 * 656 = 80011008
282 * 363 * 808 = 82711728
282 * 484 * 606 = 82711728
171 * 737 * 777 = 97922979
111 * 949 * 959 = 101020101
121 * 949 * 959 = 110121011
181 * 909 * 919 = 151202151
222 * 949 * 959 = 202040202
232 * 949 * 959 = 211141112
323 * 656 * 999 = 211676112
333 * 656 * 969 = 211676112
404 * 616 * 858 = 213525312
242 * 949 * 959 = 220242022
353 * 626 * 999 = 220757022
353 * 666 * 939 = 220757022
343 * 676 * 999 = 231636132
444 * 616 * 858 = 234666432
484 * 606 * 808 = 236989632
333 * 818 * 878 = 239161932
373 * 646 * 999 = 240717042
373 * 666 * 969 = 240717042
292 * 909 * 959 = 254545452
383 * 828 * 878 = 278434872
292 * 959 * 999 = 279747972
333 * 949 * 959 = 303060303
343 * 949 * 959 = 312161213
353 * 949 * 959 = 321262123
363 * 949 * 959 = 330363033
444 * 949 * 959 = 404080404
454 * 949 * 959 = 413181314
464 * 949 * 959 = 422282224
474 * 949 * 959 = 431383134
484 * 949 * 959 = 440484044
979 * 989 * 999 = 967262769