Finding the Third Proportional to 95.25 and 158.75

Step by Step Solution

1. Step 1: Write the proportion equation
   95.25 : 158.75 = 158.75 : x
2. Step 2: Convert to fraction form
   95.25/158.75 = 158.75/x
3. Step 3: Cross multiply
   95.25x = 158.75 × 158.75
4. Step 4: Simplify right side
   95.25x = 25,201.56
5. Step 5: Solve for x
   x = 25,201.56/95.25
6. Step 6: Final answer
   x = 264.58