Finding the Third Proportional to 81.16 and 125.72

Step by Step Solution

1. Step 1: Write the proportion equation
   81.16 : 125.72 = 125.72 : x
2. Step 2: Convert to fraction form
   81.16/125.72 = 125.72/x
3. Step 3: Cross multiply
   81.16x = 125.72 × 125.72
4. Step 4: Simplify right side
   81.16x = 15,805.20
5. Step 5: Solve for x
   x = 15,805.20/81.16
6. Step 6: Final answer
   x = 194.75