Finding the Third Proportional to 78.75 and 173.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78.75 : 173.25 = 173.25 : x
2. Step 2: Convert to fraction form
   78.75/173.25 = 173.25/x
3. Step 3: Cross multiply
   78.75x = 173.25 × 173.25
4. Step 4: Simplify right side
   78.75x = 30,015.56
5. Step 5: Solve for x
   x = 30,015.56/78.75
6. Step 6: Final answer
   x = 381.15