Finding the Third Proportional to 366,960 and 516,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   366,960 : 516,757.50 = 516,757.50 : x
2. Step 2: Convert to fraction form
   366,960/516,757.50 = 516,757.50/x
3. Step 3: Cross multiply
   366,960x = 516,757.50 × 516,757.50
4. Step 4: Simplify right side
   366,960x = 267,038,313,806.25
5. Step 5: Solve for x
   x = 267,038,313,806.25/366,960
6. Step 6: Final answer
   x = 727,704.15