Finding the Third Proportional to 78.75 and 117.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78.75 : 117.25 = 117.25 : x
2. Step 2: Convert to fraction form
   78.75/117.25 = 117.25/x
3. Step 3: Cross multiply
   78.75x = 117.25 × 117.25
4. Step 4: Simplify right side
   78.75x = 13,747.56
5. Step 5: Solve for x
   x = 13,747.56/78.75
6. Step 6: Final answer
   x = 174.57