Finding the Third Proportional to 82,608 and 131,280

Step by Step Solution

1. Step 1: Write the proportion equation
   82,608 : 131,280 = 131,280 : x
2. Step 2: Convert to fraction form
   82,608/131,280 = 131,280/x
3. Step 3: Cross multiply
   82,608x = 131,280 × 131,280
4. Step 4: Simplify right side
   82,608x = 17,234,438,400
5. Step 5: Solve for x
   x = 17,234,438,400/82,608
6. Step 6: Final answer
   x = 208,629.17