Finding the Third Proportional to 82,508 and 123,942

Step by Step Solution

1. Step 1: Write the proportion equation
   82,508 : 123,942 = 123,942 : x
2. Step 2: Convert to fraction form
   82,508/123,942 = 123,942/x
3. Step 3: Cross multiply
   82,508x = 123,942 × 123,942
4. Step 4: Simplify right side
   82,508x = 15,361,619,364
5. Step 5: Solve for x
   x = 15,361,619,364/82,508
6. Step 6: Final answer
   x = 186,183.39