Finding the Third Proportional to 109.38 and 229.34

Step by Step Solution

1. Step 1: Write the proportion equation
   109.38 : 229.34 = 229.34 : x
2. Step 2: Convert to fraction form
   109.38/229.34 = 229.34/x
3. Step 3: Cross multiply
   109.38x = 229.34 × 229.34
4. Step 4: Simplify right side
   109.38x = 52,598.56
5. Step 5: Solve for x
   x = 52,598.56/109.38
6. Step 6: Final answer
   x = 480.90