Finding the Third Proportional to 85.43 and 186.88

Step by Step Solution

1. Step 1: Write the proportion equation
   85.43 : 186.88 = 186.88 : x
2. Step 2: Convert to fraction form
   85.43/186.88 = 186.88/x
3. Step 3: Cross multiply
   85.43x = 186.88 × 186.88
4. Step 4: Simplify right side
   85.43x = 34,923.18
5. Step 5: Solve for x
   x = 34,923.18/85.43
6. Step 6: Final answer
   x = 408.79