Finding the Third Proportional to 82,216 and 179,650

Step by Step Solution

1. Step 1: Write the proportion equation
   82,216 : 179,650 = 179,650 : x
2. Step 2: Convert to fraction form
   82,216/179,650 = 179,650/x
3. Step 3: Cross multiply
   82,216x = 179,650 × 179,650
4. Step 4: Simplify right side
   82,216x = 32,274,122,500
5. Step 5: Solve for x
   x = 32,274,122,500/82,216
6. Step 6: Final answer
   x = 392,552.82