Finding the Third Proportional to 86.67 and 185.34

Step by Step Solution

1. Step 1: Write the proportion equation
   86.67 : 185.34 = 185.34 : x
2. Step 2: Convert to fraction form
   86.67/185.34 = 185.34/x
3. Step 3: Cross multiply
   86.67x = 185.34 × 185.34
4. Step 4: Simplify right side
   86.67x = 34,352.31
5. Step 5: Solve for x
   x = 34,352.31/86.67
6. Step 6: Final answer
   x = 396.35