Finding the Third Proportional to 82,540 and 123,738

Step by Step Solution

1. Step 1: Write the proportion equation
   82,540 : 123,738 = 123,738 : x
2. Step 2: Convert to fraction form
   82,540/123,738 = 123,738/x
3. Step 3: Cross multiply
   82,540x = 123,738 × 123,738
4. Step 4: Simplify right side
   82,540x = 15,311,092,644
5. Step 5: Solve for x
   x = 15,311,092,644/82,540
6. Step 6: Final answer
   x = 185,499.06