Finding the Third Proportional to 88,644 and 132,966

Step by Step Solution

1. Step 1: Write the proportion equation
   88,644 : 132,966 = 132,966 : x
2. Step 2: Convert to fraction form
   88,644/132,966 = 132,966/x
3. Step 3: Cross multiply
   88,644x = 132,966 × 132,966
4. Step 4: Simplify right side
   88,644x = 17,679,957,156
5. Step 5: Solve for x
   x = 17,679,957,156/88,644
6. Step 6: Final answer
   x = 199,449