Finding the Third Proportional to 82,505.50 and 179,825

Step by Step Solution

1. Step 1: Write the proportion equation
   82,505.50 : 179,825 = 179,825 : x
2. Step 2: Convert to fraction form
   82,505.50/179,825 = 179,825/x
3. Step 3: Cross multiply
   82,505.50x = 179,825 × 179,825
4. Step 4: Simplify right side
   82,505.50x = 32,337,030,625
5. Step 5: Solve for x
   x = 32,337,030,625/82,505.50
6. Step 6: Final answer
   x = 391,937.88