Finding the Third Proportional to 105,517.50 and 231,046.31

Step by Step Solution

1. Step 1: Write the proportion equation
   105,517.50 : 231,046.31 = 231,046.31 : x
2. Step 2: Convert to fraction form
   105,517.50/231,046.31 = 231,046.31/x
3. Step 3: Cross multiply
   105,517.50x = 231,046.31 × 231,046.31
4. Step 4: Simplify right side
   105,517.50x = 53,382,398,519.85
5. Step 5: Solve for x
   x = 53,382,398,519.85/105,517.50
6. Step 6: Final answer
   x = 505,910.38