Finding the Third Proportional to 105,735 and 232,499

Step by Step Solution

1. Step 1: Write the proportion equation
   105,735 : 232,499 = 232,499 : x
2. Step 2: Convert to fraction form
   105,735/232,499 = 232,499/x
3. Step 3: Cross multiply
   105,735x = 232,499 × 232,499
4. Step 4: Simplify right side
   105,735x = 54,055,785,001
5. Step 5: Solve for x
   x = 54,055,785,001/105,735
6. Step 6: Final answer
   x = 511,238.33