Finding the Third Proportional to 88,900 and 137,561

Step by Step Solution

1. Step 1: Write the proportion equation
   88,900 : 137,561 = 137,561 : x
2. Step 2: Convert to fraction form
   88,900/137,561 = 137,561/x
3. Step 3: Cross multiply
   88,900x = 137,561 × 137,561
4. Step 4: Simplify right side
   88,900x = 18,923,028,721
5. Step 5: Solve for x
   x = 18,923,028,721/88,900
6. Step 6: Final answer
   x = 212,857.47