Finding the Third Proportional to 80,496 and 175,950

Step by Step Solution

1. Step 1: Write the proportion equation
   80,496 : 175,950 = 175,950 : x
2. Step 2: Convert to fraction form
   80,496/175,950 = 175,950/x
3. Step 3: Cross multiply
   80,496x = 175,950 × 175,950
4. Step 4: Simplify right side
   80,496x = 30,958,402,500
5. Step 5: Solve for x
   x = 30,958,402,500/80,496
6. Step 6: Final answer
   x = 384,595.54