Finding the Third Proportional to 459,096 and 615,744

Step by Step Solution

1. Step 1: Write the proportion equation
   459,096 : 615,744 = 615,744 : x
2. Step 2: Convert to fraction form
   459,096/615,744 = 615,744/x
3. Step 3: Cross multiply
   459,096x = 615,744 × 615,744
4. Step 4: Simplify right side
   459,096x = 379,140,673,536
5. Step 5: Solve for x
   x = 379,140,673,536/459,096
6. Step 6: Final answer
   x = 825,841.81