Finding the Third Proportional to 71,171 and 113,413

Step by Step Solution

1. Step 1: Write the proportion equation
   71,171 : 113,413 = 113,413 : x
2. Step 2: Convert to fraction form
   71,171/113,413 = 113,413/x
3. Step 3: Cross multiply
   71,171x = 113,413 × 113,413
4. Step 4: Simplify right side
   71,171x = 12,862,508,569
5. Step 5: Solve for x
   x = 12,862,508,569/71,171
6. Step 6: Final answer
   x = 180,726.82