Finding the Third Proportional to 82,093 and 179,612

Step by Step Solution

1. Step 1: Write the proportion equation
   82,093 : 179,612 = 179,612 : x
2. Step 2: Convert to fraction form
   82,093/179,612 = 179,612/x
3. Step 3: Cross multiply
   82,093x = 179,612 × 179,612
4. Step 4: Simplify right side
   82,093x = 32,260,470,544
5. Step 5: Solve for x
   x = 32,260,470,544/82,093
6. Step 6: Final answer
   x = 392,974.68