Finding the Third Proportional to 82,210 and 179,638

Step by Step Solution

1. Step 1: Write the proportion equation
   82,210 : 179,638 = 179,638 : x
2. Step 2: Convert to fraction form
   82,210/179,638 = 179,638/x
3. Step 3: Cross multiply
   82,210x = 179,638 × 179,638
4. Step 4: Simplify right side
   82,210x = 32,269,811,044
5. Step 5: Solve for x
   x = 32,269,811,044/82,210
6. Step 6: Final answer
   x = 392,529.02