Finding the Third Proportional to 42,557 and 89,398

Step by Step Solution

1. Step 1: Write the proportion equation
   42,557 : 89,398 = 89,398 : x
2. Step 2: Convert to fraction form
   42,557/89,398 = 89,398/x
3. Step 3: Cross multiply
   42,557x = 89,398 × 89,398
4. Step 4: Simplify right side
   42,557x = 7,992,002,404
5. Step 5: Solve for x
   x = 7,992,002,404/42,557
6. Step 6: Final answer
   x = 187,795.25