Finding the Third Proportional to 88,638 and 131,564

Step by Step Solution

1. Step 1: Write the proportion equation
   88,638 : 131,564 = 131,564 : x
2. Step 2: Convert to fraction form
   88,638/131,564 = 131,564/x
3. Step 3: Cross multiply
   88,638x = 131,564 × 131,564
4. Step 4: Simplify right side
   88,638x = 17,309,086,096
5. Step 5: Solve for x
   x = 17,309,086,096/88,638
6. Step 6: Final answer
   x = 195,278.39