Finding the Third Proportional to 103,744 and 231,680

Step by Step Solution

1. Step 1: Write the proportion equation
   103,744 : 231,680 = 231,680 : x
2. Step 2: Convert to fraction form
   103,744/231,680 = 231,680/x
3. Step 3: Cross multiply
   103,744x = 231,680 × 231,680
4. Step 4: Simplify right side
   103,744x = 53,675,622,400
5. Step 5: Solve for x
   x = 53,675,622,400/103,744
6. Step 6: Final answer
   x = 517,385.32