Finding the Third Proportional to 173,664 and 267,414.75

Step by Step Solution

1. Step 1: Write the proportion equation
   173,664 : 267,414.75 = 267,414.75 : x
2. Step 2: Convert to fraction form
   173,664/267,414.75 = 267,414.75/x
3. Step 3: Cross multiply
   173,664x = 267,414.75 × 267,414.75
4. Step 4: Simplify right side
   173,664x = 71,510,648,517.56
5. Step 5: Solve for x
   x = 71,510,648,517.56/173,664
6. Step 6: Final answer
   x = 411,775.89