Finding the Third Proportional to 82,644 and 179,022

Step by Step Solution

1. Step 1: Write the proportion equation
   82,644 : 179,022 = 179,022 : x
2. Step 2: Convert to fraction form
   82,644/179,022 = 179,022/x
3. Step 3: Cross multiply
   82,644x = 179,022 × 179,022
4. Step 4: Simplify right side
   82,644x = 32,048,876,484
5. Step 5: Solve for x
   x = 32,048,876,484/82,644
6. Step 6: Final answer
   x = 387,794.35