Finding the Third Proportional to 82,149 and 123,587

Step by Step Solution

1. Step 1: Write the proportion equation
   82,149 : 123,587 = 123,587 : x
2. Step 2: Convert to fraction form
   82,149/123,587 = 123,587/x
3. Step 3: Cross multiply
   82,149x = 123,587 × 123,587
4. Step 4: Simplify right side
   82,149x = 15,273,746,569
5. Step 5: Solve for x
   x = 15,273,746,569/82,149
6. Step 6: Final answer
   x = 185,927.36