Finding the Third Proportional to 82,816 and 131,200

Step by Step Solution

1. Step 1: Write the proportion equation
   82,816 : 131,200 = 131,200 : x
2. Step 2: Convert to fraction form
   82,816/131,200 = 131,200/x
3. Step 3: Cross multiply
   82,816x = 131,200 × 131,200
4. Step 4: Simplify right side
   82,816x = 17,213,440,000
5. Step 5: Solve for x
   x = 17,213,440,000/82,816
6. Step 6: Final answer
   x = 207,851.62