Finding the Third Proportional to 366,985 and 516,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   366,985 : 516,781.50 = 516,781.50 : x
2. Step 2: Convert to fraction form
   366,985/516,781.50 = 516,781.50/x
3. Step 3: Cross multiply
   366,985x = 516,781.50 × 516,781.50
4. Step 4: Simplify right side
   366,985x = 267,063,118,742.25
5. Step 5: Solve for x
   x = 267,063,118,742.25/366,985
6. Step 6: Final answer
   x = 727,722.17