Finding the Third Proportional to 123,982.88 and 185,493.38

Step by Step Solution

1. Step 1: Write the proportion equation
   123,982.88 : 185,493.38 = 185,493.38 : x
2. Step 2: Convert to fraction form
   123,982.88/185,493.38 = 185,493.38/x
3. Step 3: Cross multiply
   123,982.88x = 185,493.38 × 185,493.38
4. Step 4: Simplify right side
   123,982.88x = 34,407,792,168.89
5. Step 5: Solve for x
   x = 34,407,792,168.89/123,982.88
6. Step 6: Final answer
   x = 277,520.52