Finding the Third Proportional to 80,195 and 175,423

Step by Step Solution

1. Step 1: Write the proportion equation
   80,195 : 175,423 = 175,423 : x
2. Step 2: Convert to fraction form
   80,195/175,423 = 175,423/x
3. Step 3: Cross multiply
   80,195x = 175,423 × 175,423
4. Step 4: Simplify right side
   80,195x = 30,773,228,929
5. Step 5: Solve for x
   x = 30,773,228,929/80,195
6. Step 6: Final answer
   x = 383,730.02