Finding the Third Proportional to 460,728 and 710,766

Step by Step Solution

1. Step 1: Write the proportion equation
   460,728 : 710,766 = 710,766 : x
2. Step 2: Convert to fraction form
   460,728/710,766 = 710,766/x
3. Step 3: Cross multiply
   460,728x = 710,766 × 710,766
4. Step 4: Simplify right side
   460,728x = 505,188,306,756
5. Step 5: Solve for x
   x = 505,188,306,756/460,728
6. Step 6: Final answer
   x = 1,096,500.12