Finding the Third Proportional to 86.48 and 190.05

Step by Step Solution

1. Step 1: Write the proportion equation
   86.48 : 190.05 = 190.05 : x
2. Step 2: Convert to fraction form
   86.48/190.05 = 190.05/x
3. Step 3: Cross multiply
   86.48x = 190.05 × 190.05
4. Step 4: Simplify right side
   86.48x = 36,120.78
5. Step 5: Solve for x
   x = 36,120.78/86.48
6. Step 6: Final answer
   x = 417.66