Finding the Third Proportional to 82,744.50 and 179,493

Step by Step Solution

1. Step 1: Write the proportion equation
   82,744.50 : 179,493 = 179,493 : x
2. Step 2: Convert to fraction form
   82,744.50/179,493 = 179,493/x
3. Step 3: Cross multiply
   82,744.50x = 179,493 × 179,493
4. Step 4: Simplify right side
   82,744.50x = 32,217,737,049
5. Step 5: Solve for x
   x = 32,217,737,049/82,744.50
6. Step 6: Final answer
   x = 389,364.09