Finding the Third Proportional to 82,215 and 179,919

Step by Step Solution

1. Step 1: Write the proportion equation
   82,215 : 179,919 = 179,919 : x
2. Step 2: Convert to fraction form
   82,215/179,919 = 179,919/x
3. Step 3: Cross multiply
   82,215x = 179,919 × 179,919
4. Step 4: Simplify right side
   82,215x = 32,370,846,561
5. Step 5: Solve for x
   x = 32,370,846,561/82,215
6. Step 6: Final answer
   x = 393,734.07