Finding the Third Proportional to 85.88 and 126.38

Step by Step Solution

1. Step 1: Write the proportion equation
   85.88 : 126.38 = 126.38 : x
2. Step 2: Convert to fraction form
   85.88/126.38 = 126.38/x
3. Step 3: Cross multiply
   85.88x = 126.38 × 126.38
4. Step 4: Simplify right side
   85.88x = 15,970.64
5. Step 5: Solve for x
   x = 15,970.64/85.88
6. Step 6: Final answer
   x = 185.98