Finding the Third Proportional to 86.85 and 190.79

Step by Step Solution

1. Step 1: Write the proportion equation
   86.85 : 190.79 = 190.79 : x
2. Step 2: Convert to fraction form
   86.85/190.79 = 190.79/x
3. Step 3: Cross multiply
   86.85x = 190.79 × 190.79
4. Step 4: Simplify right side
   86.85x = 36,401.96
5. Step 5: Solve for x
   x = 36,401.96/86.85
6. Step 6: Final answer
   x = 419.12