Finding the Third Proportional to 82,049 and 179,284

Step by Step Solution

1. Step 1: Write the proportion equation
   82,049 : 179,284 = 179,284 : x
2. Step 2: Convert to fraction form
   82,049/179,284 = 179,284/x
3. Step 3: Cross multiply
   82,049x = 179,284 × 179,284
4. Step 4: Simplify right side
   82,049x = 32,142,752,656
5. Step 5: Solve for x
   x = 32,142,752,656/82,049
6. Step 6: Final answer
   x = 391,750.69