Finding the Third Proportional to 82,644 and 179,020

Step by Step Solution

1. Step 1: Write the proportion equation
   82,644 : 179,020 = 179,020 : x
2. Step 2: Convert to fraction form
   82,644/179,020 = 179,020/x
3. Step 3: Cross multiply
   82,644x = 179,020 × 179,020
4. Step 4: Simplify right side
   82,644x = 32,048,160,400
5. Step 5: Solve for x
   x = 32,048,160,400/82,644
6. Step 6: Final answer
   x = 387,785.69