Finding the Third Proportional to 82,042 and 179,267

Step by Step Solution

1. Step 1: Write the proportion equation
   82,042 : 179,267 = 179,267 : x
2. Step 2: Convert to fraction form
   82,042/179,267 = 179,267/x
3. Step 3: Cross multiply
   82,042x = 179,267 × 179,267
4. Step 4: Simplify right side
   82,042x = 32,136,657,289
5. Step 5: Solve for x
   x = 32,136,657,289/82,042
6. Step 6: Final answer
   x = 391,709.82