Finding the Third Proportional to 82,350 and 123,498

Step by Step Solution

1. Step 1: Write the proportion equation
   82,350 : 123,498 = 123,498 : x
2. Step 2: Convert to fraction form
   82,350/123,498 = 123,498/x
3. Step 3: Cross multiply
   82,350x = 123,498 × 123,498
4. Step 4: Simplify right side
   82,350x = 15,251,756,004
5. Step 5: Solve for x
   x = 15,251,756,004/82,350
6. Step 6: Final answer
   x = 185,206.51