Finding the Third Proportional to 82,397.25 and 123,616.13

Step by Step Solution

1. Step 1: Write the proportion equation
   82,397.25 : 123,616.13 = 123,616.13 : x
2. Step 2: Convert to fraction form
   82,397.25/123,616.13 = 123,616.13/x
3. Step 3: Cross multiply
   82,397.25x = 123,616.13 × 123,616.13
4. Step 4: Simplify right side
   82,397.25x = 15,280,946,360.02
5. Step 5: Solve for x
   x = 15,280,946,360.02/82,397.25
6. Step 6: Final answer
   x = 185,454.57