Finding the Third Proportional to 82,976 and 182,080

Step by Step Solution

1. Step 1: Write the proportion equation
   82,976 : 182,080 = 182,080 : x
2. Step 2: Convert to fraction form
   82,976/182,080 = 182,080/x
3. Step 3: Cross multiply
   82,976x = 182,080 × 182,080
4. Step 4: Simplify right side
   82,976x = 33,153,126,400
5. Step 5: Solve for x
   x = 33,153,126,400/82,976
6. Step 6: Final answer
   x = 399,550.79