Finding the Third Proportional to 366,942 and 516,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   366,942 : 516,736.50 = 516,736.50 : x
2. Step 2: Convert to fraction form
   366,942/516,736.50 = 516,736.50/x
3. Step 3: Cross multiply
   366,942x = 516,736.50 × 516,736.50
4. Step 4: Simplify right side
   366,942x = 267,016,610,432.25
5. Step 5: Solve for x
   x = 267,016,610,432.25/366,942
6. Step 6: Final answer
   x = 727,680.70