Finding the Third Proportional to 82,517 and 123,957

Step by Step Solution

1. Step 1: Write the proportion equation
   82,517 : 123,957 = 123,957 : x
2. Step 2: Convert to fraction form
   82,517/123,957 = 123,957/x
3. Step 3: Cross multiply
   82,517x = 123,957 × 123,957
4. Step 4: Simplify right side
   82,517x = 15,365,337,849
5. Step 5: Solve for x
   x = 15,365,337,849/82,517
6. Step 6: Final answer
   x = 186,208.15