Finding the Third Proportional to 109.50 and 233.63

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 233.63 = 233.63 : x
2. Step 2: Convert to fraction form
   109.50/233.63 = 233.63/x
3. Step 3: Cross multiply
   109.50x = 233.63 × 233.63
4. Step 4: Simplify right side
   109.50x = 54,580.64
5. Step 5: Solve for x
   x = 54,580.64/109.50
6. Step 6: Final answer
   x = 498.45