Finding the Third Proportional to 456,280 and 688,105

Step by Step Solution

1. Step 1: Write the proportion equation
   456,280 : 688,105 = 688,105 : x
2. Step 2: Convert to fraction form
   456,280/688,105 = 688,105/x
3. Step 3: Cross multiply
   456,280x = 688,105 × 688,105
4. Step 4: Simplify right side
   456,280x = 473,488,491,025
5. Step 5: Solve for x
   x = 473,488,491,025/456,280
6. Step 6: Final answer
   x = 1,037,714.76