Finding the Third Proportional to 82,414 and 179,514

Step by Step Solution

1. Step 1: Write the proportion equation
   82,414 : 179,514 = 179,514 : x
2. Step 2: Convert to fraction form
   82,414/179,514 = 179,514/x
3. Step 3: Cross multiply
   82,414x = 179,514 × 179,514
4. Step 4: Simplify right side
   82,414x = 32,225,276,196
5. Step 5: Solve for x
   x = 32,225,276,196/82,414
6. Step 6: Final answer
   x = 391,017.01