Finding the Third Proportional to 80,193 and 175,419

Step by Step Solution

1. Step 1: Write the proportion equation
   80,193 : 175,419 = 175,419 : x
2. Step 2: Convert to fraction form
   80,193/175,419 = 175,419/x
3. Step 3: Cross multiply
   80,193x = 175,419 × 175,419
4. Step 4: Simplify right side
   80,193x = 30,771,825,561
5. Step 5: Solve for x
   x = 30,771,825,561/80,193
6. Step 6: Final answer
   x = 383,722.09