Finding the Third Proportional to 85.25 and 125.38

Step by Step Solution

1. Step 1: Write the proportion equation
   85.25 : 125.38 = 125.38 : x
2. Step 2: Convert to fraction form
   85.25/125.38 = 125.38/x
3. Step 3: Cross multiply
   85.25x = 125.38 × 125.38
4. Step 4: Simplify right side
   85.25x = 15,718.89
5. Step 5: Solve for x
   x = 15,718.89/85.25
6. Step 6: Final answer
   x = 184.39