Finding the Third Proportional to 517,518 and 712,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   517,518 : 712,633.50 = 712,633.50 : x
2. Step 2: Convert to fraction form
   517,518/712,633.50 = 712,633.50/x
3. Step 3: Cross multiply
   517,518x = 712,633.50 × 712,633.50
4. Step 4: Simplify right side
   517,518x = 507,846,505,322.25
5. Step 5: Solve for x
   x = 507,846,505,322.25/517,518
6. Step 6: Final answer
   x = 981,311.77