Finding the Third Proportional to 85.75 and 139.38

Step by Step Solution

1. Step 1: Write the proportion equation
   85.75 : 139.38 = 139.38 : x
2. Step 2: Convert to fraction form
   85.75/139.38 = 139.38/x
3. Step 3: Cross multiply
   85.75x = 139.38 × 139.38
4. Step 4: Simplify right side
   85.75x = 19,425.39
5. Step 5: Solve for x
   x = 19,425.39/85.75
6. Step 6: Final answer
   x = 226.54