Maybe this :
NumberForm[#, 10] &@ {123.189094`, 123.189263`} {123.189094, 123.189263 }
?
Edit
Consider also this utility of NumberForm[ x, {m, k}] giving m real digits of x with k digits to the right of the decimal point, e.g.
NumberForm[#, {10, 7}] &@ { 197.9898987322333, 201.73205080756887 } { 197.9898987, 201.7320508 }