Finding the Third Proportional to 82,728 and 126,540

Step by Step Solution

1. Step 1: Write the proportion equation
   82,728 : 126,540 = 126,540 : x
2. Step 2: Convert to fraction form
   82,728/126,540 = 126,540/x
3. Step 3: Cross multiply
   82,728x = 126,540 × 126,540
4. Step 4: Simplify right side
   82,728x = 16,012,371,600
5. Step 5: Solve for x
   x = 16,012,371,600/82,728
6. Step 6: Final answer
   x = 193,554.44