Finding the Third Proportional to 517,727.50 and 784,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   517,727.50 : 784,610.50 = 784,610.50 : x
2. Step 2: Convert to fraction form
   517,727.50/784,610.50 = 784,610.50/x
3. Step 3: Cross multiply
   517,727.50x = 784,610.50 × 784,610.50
4. Step 4: Simplify right side
   517,727.50x = 615,613,636,710.25
5. Step 5: Solve for x
   x = 615,613,636,710.25/517,727.50
6. Step 6: Final answer
   x = 1,189,068.84