Finding the Third Proportional to 82,222 and 179,932

Step by Step Solution

1. Step 1: Write the proportion equation
   82,222 : 179,932 = 179,932 : x
2. Step 2: Convert to fraction form
   82,222/179,932 = 179,932/x
3. Step 3: Cross multiply
   82,222x = 179,932 × 179,932
4. Step 4: Simplify right side
   82,222x = 32,375,524,624
5. Step 5: Solve for x
   x = 32,375,524,624/82,222
6. Step 6: Final answer
   x = 393,757.44