Finding the Third Proportional to 86.85 and 126.72

Step by Step Solution

1. Step 1: Write the proportion equation
   86.85 : 126.72 = 126.72 : x
2. Step 2: Convert to fraction form
   86.85/126.72 = 126.72/x
3. Step 3: Cross multiply
   86.85x = 126.72 × 126.72
4. Step 4: Simplify right side
   86.85x = 16,058.14
5. Step 5: Solve for x
   x = 16,058.14/86.85
6. Step 6: Final answer
   x = 184.89