Finding the Third Proportional to 89.20 and 190.22

Step by Step Solution

1. Step 1: Write the proportion equation
   89.20 : 190.22 = 190.22 : x
2. Step 2: Convert to fraction form
   89.20/190.22 = 190.22/x
3. Step 3: Cross multiply
   89.20x = 190.22 × 190.22
4. Step 4: Simplify right side
   89.20x = 36,183.17
5. Step 5: Solve for x
   x = 36,183.17/89.20
6. Step 6: Final answer
   x = 405.63