Finding the Third Proportional to 82,238 and 179,324

Step by Step Solution

1. Step 1: Write the proportion equation
   82,238 : 179,324 = 179,324 : x
2. Step 2: Convert to fraction form
   82,238/179,324 = 179,324/x
3. Step 3: Cross multiply
   82,238x = 179,324 × 179,324
4. Step 4: Simplify right side
   82,238x = 32,157,096,976
5. Step 5: Solve for x
   x = 32,157,096,976/82,238
6. Step 6: Final answer
   x = 391,024.79