Finding the Third Proportional to 85.96 and 186.34

Step by Step Solution

1. Step 1: Write the proportion equation
   85.96 : 186.34 = 186.34 : x
2. Step 2: Convert to fraction form
   85.96/186.34 = 186.34/x
3. Step 3: Cross multiply
   85.96x = 186.34 × 186.34
4. Step 4: Simplify right side
   85.96x = 34,723.90
5. Step 5: Solve for x
   x = 34,723.90/85.96
6. Step 6: Final answer
   x = 403.94