Finding the Third Proportional to 233.50 and 538.88

Step by Step Solution

1. Step 1: Write the proportion equation
   233.50 : 538.88 = 538.88 : x
2. Step 2: Convert to fraction form
   233.50/538.88 = 538.88/x
3. Step 3: Cross multiply
   233.50x = 538.88 × 538.88
4. Step 4: Simplify right side
   233.50x = 290,386.27
5. Step 5: Solve for x
   x = 290,386.27/233.50
6. Step 6: Final answer
   x = 1,243.62