Finding the Third Proportional to 106,035 and 231,123

Step by Step Solution

1. Step 1: Write the proportion equation
   106,035 : 231,123 = 231,123 : x
2. Step 2: Convert to fraction form
   106,035/231,123 = 231,123/x
3. Step 3: Cross multiply
   106,035x = 231,123 × 231,123
4. Step 4: Simplify right side
   106,035x = 53,417,841,129
5. Step 5: Solve for x
   x = 53,417,841,129/106,035
6. Step 6: Final answer
   x = 503,775.56