Finding the Third Proportional to 81,684 and 179,922

Step by Step Solution

1. Step 1: Write the proportion equation
   81,684 : 179,922 = 179,922 : x
2. Step 2: Convert to fraction form
   81,684/179,922 = 179,922/x
3. Step 3: Cross multiply
   81,684x = 179,922 × 179,922
4. Step 4: Simplify right side
   81,684x = 32,371,926,084
5. Step 5: Solve for x
   x = 32,371,926,084/81,684
6. Step 6: Final answer
   x = 396,306.82