Finding the Third Proportional to 109.13 and 229.69

Step by Step Solution

1. Step 1: Write the proportion equation
   109.13 : 229.69 = 229.69 : x
2. Step 2: Convert to fraction form
   109.13/229.69 = 229.69/x
3. Step 3: Cross multiply
   109.13x = 229.69 × 229.69
4. Step 4: Simplify right side
   109.13x = 52,756.35
5. Step 5: Solve for x
   x = 52,756.35/109.13
6. Step 6: Final answer
   x = 483.45