Finding the Third Proportional to 366,938 and 516,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   366,938 : 516,729.50 = 516,729.50 : x
2. Step 2: Convert to fraction form
   366,938/516,729.50 = 516,729.50/x
3. Step 3: Cross multiply
   366,938x = 516,729.50 × 516,729.50
4. Step 4: Simplify right side
   366,938x = 267,009,376,170.25
5. Step 5: Solve for x
   x = 267,009,376,170.25/366,938
6. Step 6: Final answer
   x = 727,668.91