Finding the Third Proportional to 171.50 and 280.75

Step by Step Solution

1. Step 1: Write the proportion equation
   171.50 : 280.75 = 280.75 : x
2. Step 2: Convert to fraction form
   171.50/280.75 = 280.75/x
3. Step 3: Cross multiply
   171.50x = 280.75 × 280.75
4. Step 4: Simplify right side
   171.50x = 78,820.56
5. Step 5: Solve for x
   x = 78,820.56/171.50
6. Step 6: Final answer
   x = 459.60