Finding the Third Proportional to 51,540 and 109,398

Step by Step Solution

1. Step 1: Write the proportion equation
   51,540 : 109,398 = 109,398 : x
2. Step 2: Convert to fraction form
   51,540/109,398 = 109,398/x
3. Step 3: Cross multiply
   51,540x = 109,398 × 109,398
4. Step 4: Simplify right side
   51,540x = 11,967,922,404
5. Step 5: Solve for x
   x = 11,967,922,404/51,540
6. Step 6: Final answer
   x = 232,206.49