Finding the Third Proportional to 86.80 and 185.92

Step by Step Solution

1. Step 1: Write the proportion equation
   86.80 : 185.92 = 185.92 : x
2. Step 2: Convert to fraction form
   86.80/185.92 = 185.92/x
3. Step 3: Cross multiply
   86.80x = 185.92 × 185.92
4. Step 4: Simplify right side
   86.80x = 34,564.40
5. Step 5: Solve for x
   x = 34,564.40/86.80
6. Step 6: Final answer
   x = 398.20