Finding the Third Proportional to 82,766 and 131,520

Step by Step Solution

1. Step 1: Write the proportion equation
   82,766 : 131,520 = 131,520 : x
2. Step 2: Convert to fraction form
   82,766/131,520 = 131,520/x
3. Step 3: Cross multiply
   82,766x = 131,520 × 131,520
4. Step 4: Simplify right side
   82,766x = 17,297,510,400
5. Step 5: Solve for x
   x = 17,297,510,400/82,766
6. Step 6: Final answer
   x = 208,992.95