Finding the Third Proportional to 107.25 and 229.69

Step by Step Solution

1. Step 1: Write the proportion equation
   107.25 : 229.69 = 229.69 : x
2. Step 2: Convert to fraction form
   107.25/229.69 = 229.69/x
3. Step 3: Cross multiply
   107.25x = 229.69 × 229.69
4. Step 4: Simplify right side
   107.25x = 52,756.35
5. Step 5: Solve for x
   x = 52,756.35/107.25
6. Step 6: Final answer
   x = 491.90