Finding the Third Proportional to 82,443.38 and 179,649

Step by Step Solution

1. Step 1: Write the proportion equation
   82,443.38 : 179,649 = 179,649 : x
2. Step 2: Convert to fraction form
   82,443.38/179,649 = 179,649/x
3. Step 3: Cross multiply
   82,443.38x = 179,649 × 179,649
4. Step 4: Simplify right side
   82,443.38x = 32,273,763,201
5. Step 5: Solve for x
   x = 32,273,763,201/82,443.38
6. Step 6: Final answer
   x = 391,465.82