Finding the Third Proportional to 85.75 and 187.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85.75 : 187.25 = 187.25 : x
2. Step 2: Convert to fraction form
   85.75/187.25 = 187.25/x
3. Step 3: Cross multiply
   85.75x = 187.25 × 187.25
4. Step 4: Simplify right side
   85.75x = 35,062.56
5. Step 5: Solve for x
   x = 35,062.56/85.75
6. Step 6: Final answer
   x = 408.89