Finding the Third Proportional to 80,580 and 175,500

Step by Step Solution

1. Step 1: Write the proportion equation
   80,580 : 175,500 = 175,500 : x
2. Step 2: Convert to fraction form
   80,580/175,500 = 175,500/x
3. Step 3: Cross multiply
   80,580x = 175,500 × 175,500
4. Step 4: Simplify right side
   80,580x = 30,800,250,000
5. Step 5: Solve for x
   x = 30,800,250,000/80,580
6. Step 6: Final answer
   x = 382,231.94