Finding the Third Proportional to 82,089 and 179,604

Step by Step Solution

1. Step 1: Write the proportion equation
   82,089 : 179,604 = 179,604 : x
2. Step 2: Convert to fraction form
   82,089/179,604 = 179,604/x
3. Step 3: Cross multiply
   82,089x = 179,604 × 179,604
4. Step 4: Simplify right side
   82,089x = 32,257,596,816
5. Step 5: Solve for x
   x = 32,257,596,816/82,089
6. Step 6: Final answer
   x = 392,958.82