Finding the Third Proportional to 82,217.25 and 179,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,217.25 : 179,653.50 = 179,653.50 : x
2. Step 2: Convert to fraction form
   82,217.25/179,653.50 = 179,653.50/x
3. Step 3: Cross multiply
   82,217.25x = 179,653.50 × 179,653.50
4. Step 4: Simplify right side
   82,217.25x = 32,275,380,062.25
5. Step 5: Solve for x
   x = 32,275,380,062.25/82,217.25
6. Step 6: Final answer
   x = 392,562.15