Finding the Third Proportional to 649,731 and 974,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   649,731 : 974,596.50 = 974,596.50 : x
2. Step 2: Convert to fraction form
   649,731/974,596.50 = 974,596.50/x
3. Step 3: Cross multiply
   649,731x = 974,596.50 × 974,596.50
4. Step 4: Simplify right side
   649,731x = 949,838,337,812.25
5. Step 5: Solve for x
   x = 949,838,337,812.25/649,731
6. Step 6: Final answer
   x = 1,461,894.75