Finding the Third Proportional to 267,724.50 and 582,105

Step by Step Solution

1. Step 1: Write the proportion equation
   267,724.50 : 582,105 = 582,105 : x
2. Step 2: Convert to fraction form
   267,724.50/582,105 = 582,105/x
3. Step 3: Cross multiply
   267,724.50x = 582,105 × 582,105
4. Step 4: Simplify right side
   267,724.50x = 338,846,231,025
5. Step 5: Solve for x
   x = 338,846,231,025/267,724.50
6. Step 6: Final answer
   x = 1,265,652.68