Finding the Third Proportional to 85.27 and 185.41

Step by Step Solution

1. Step 1: Write the proportion equation
   85.27 : 185.41 = 185.41 : x
2. Step 2: Convert to fraction form
   85.27/185.41 = 185.41/x
3. Step 3: Cross multiply
   85.27x = 185.41 × 185.41
4. Step 4: Simplify right side
   85.27x = 34,378.37
5. Step 5: Solve for x
   x = 34,378.37/85.27
6. Step 6: Final answer
   x = 403.16