Finding the Third Proportional to 109.27 and 233.30

Step by Step Solution

1. Step 1: Write the proportion equation
   109.27 : 233.30 = 233.30 : x
2. Step 2: Convert to fraction form
   109.27/233.30 = 233.30/x
3. Step 3: Cross multiply
   109.27x = 233.30 × 233.30
4. Step 4: Simplify right side
   109.27x = 54,427.43
5. Step 5: Solve for x
   x = 54,427.43/109.27
6. Step 6: Final answer
   x = 498.12