Finding the Third Proportional to 173.75 and 255.25

Step by Step Solution

1. Step 1: Write the proportion equation
   173.75 : 255.25 = 255.25 : x
2. Step 2: Convert to fraction form
   173.75/255.25 = 255.25/x
3. Step 3: Cross multiply
   173.75x = 255.25 × 255.25
4. Step 4: Simplify right side
   173.75x = 65,152.56
5. Step 5: Solve for x
   x = 65,152.56/173.75
6. Step 6: Final answer
   x = 374.98