Finding the Third Proportional to 82,161 and 179,391.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82,161 : 179,391.38 = 179,391.38 : x
2. Step 2: Convert to fraction form
   82,161/179,391.38 = 179,391.38/x
3. Step 3: Cross multiply
   82,161x = 179,391.38 × 179,391.38
4. Step 4: Simplify right side
   82,161x = 32,181,265,424.39
5. Step 5: Solve for x
   x = 32,181,265,424.39/82,161
6. Step 6: Final answer
   x = 391,685.42