Finding the Third Proportional to 90.59 and 144.16

Step by Step Solution

1. Step 1: Write the proportion equation
   90.59 : 144.16 = 144.16 : x
2. Step 2: Convert to fraction form
   90.59/144.16 = 144.16/x
3. Step 3: Cross multiply
   90.59x = 144.16 × 144.16
4. Step 4: Simplify right side
   90.59x = 20,782.85
5. Step 5: Solve for x
   x = 20,782.85/90.59
6. Step 6: Final answer
   x = 229.41