Finding the Third Proportional to 82,642 and 179,016

Step by Step Solution

1. Step 1: Write the proportion equation
   82,642 : 179,016 = 179,016 : x
2. Step 2: Convert to fraction form
   82,642/179,016 = 179,016/x
3. Step 3: Cross multiply
   82,642x = 179,016 × 179,016
4. Step 4: Simplify right side
   82,642x = 32,046,728,256
5. Step 5: Solve for x
   x = 32,046,728,256/82,642
6. Step 6: Final answer
   x = 387,777.74