Finding the Third Proportional to 517,747 and 784,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   517,747 : 784,639.50 = 784,639.50 : x
2. Step 2: Convert to fraction form
   517,747/784,639.50 = 784,639.50/x
3. Step 3: Cross multiply
   517,747x = 784,639.50 × 784,639.50
4. Step 4: Simplify right side
   517,747x = 615,659,144,960.25
5. Step 5: Solve for x
   x = 615,659,144,960.25/517,747
6. Step 6: Final answer
   x = 1,189,111.95