Finding the Third Proportional to 82,252 and 123,986

Step by Step Solution

1. Step 1: Write the proportion equation
   82,252 : 123,986 = 123,986 : x
2. Step 2: Convert to fraction form
   82,252/123,986 = 123,986/x
3. Step 3: Cross multiply
   82,252x = 123,986 × 123,986
4. Step 4: Simplify right side
   82,252x = 15,372,528,196
5. Step 5: Solve for x
   x = 15,372,528,196/82,252
6. Step 6: Final answer
   x = 186,895.49