Finding the Third Proportional to 233.50 and 488.75

Step by Step Solution

1. Step 1: Write the proportion equation
   233.50 : 488.75 = 488.75 : x
2. Step 2: Convert to fraction form
   233.50/488.75 = 488.75/x
3. Step 3: Cross multiply
   233.50x = 488.75 × 488.75
4. Step 4: Simplify right side
   233.50x = 238,876.56
5. Step 5: Solve for x
   x = 238,876.56/233.50
6. Step 6: Final answer
   x = 1,023.03