Finding the Third Proportional to 41,420 and 89,398

Step by Step Solution

1. Step 1: Write the proportion equation
   41,420 : 89,398 = 89,398 : x
2. Step 2: Convert to fraction form
   41,420/89,398 = 89,398/x
3. Step 3: Cross multiply
   41,420x = 89,398 × 89,398
4. Step 4: Simplify right side
   41,420x = 7,992,002,404
5. Step 5: Solve for x
   x = 7,992,002,404/41,420
6. Step 6: Final answer
   x = 192,950.32