Finding the Third Proportional to 366,943.50 and 516,735

Step by Step Solution

1. Step 1: Write the proportion equation
   366,943.50 : 516,735 = 516,735 : x
2. Step 2: Convert to fraction form
   366,943.50/516,735 = 516,735/x
3. Step 3: Cross multiply
   366,943.50x = 516,735 × 516,735
4. Step 4: Simplify right side
   366,943.50x = 267,015,060,225
5. Step 5: Solve for x
   x = 267,015,060,225/366,943.50
6. Step 6: Final answer
   x = 727,673.50