Finding the Third Proportional to 456,151.50 and 684,234

Step by Step Solution

1. Step 1: Write the proportion equation
   456,151.50 : 684,234 = 684,234 : x
2. Step 2: Convert to fraction form
   456,151.50/684,234 = 684,234/x
3. Step 3: Cross multiply
   456,151.50x = 684,234 × 684,234
4. Step 4: Simplify right side
   456,151.50x = 468,176,166,756
5. Step 5: Solve for x
   x = 468,176,166,756/456,151.50
6. Step 6: Final answer
   x = 1,026,361.13