Finding the Third Proportional to 86.77 and 190.69

Step by Step Solution

1. Step 1: Write the proportion equation
   86.77 : 190.69 = 190.69 : x
2. Step 2: Convert to fraction form
   86.77/190.69 = 190.69/x
3. Step 3: Cross multiply
   86.77x = 190.69 × 190.69
4. Step 4: Simplify right side
   86.77x = 36,361.72
5. Step 5: Solve for x
   x = 36,361.72/86.77
6. Step 6: Final answer
   x = 419.08