Finding the Third Proportional to 85.43 and 186.05

Step by Step Solution

1. Step 1: Write the proportion equation
   85.43 : 186.05 = 186.05 : x
2. Step 2: Convert to fraction form
   85.43/186.05 = 186.05/x
3. Step 3: Cross multiply
   85.43x = 186.05 × 186.05
4. Step 4: Simplify right side
   85.43x = 34,613.44
5. Step 5: Solve for x
   x = 34,613.44/85.43
6. Step 6: Final answer
   x = 405.17