Finding the Third Proportional to 82,252 and 179,348

Step by Step Solution

1. Step 1: Write the proportion equation
   82,252 : 179,348 = 179,348 : x
2. Step 2: Convert to fraction form
   82,252/179,348 = 179,348/x
3. Step 3: Cross multiply
   82,252x = 179,348 × 179,348
4. Step 4: Simplify right side
   82,252x = 32,165,705,104
5. Step 5: Solve for x
   x = 32,165,705,104/82,252
6. Step 6: Final answer
   x = 391,062.89