Finding the Third Proportional to 233.25 and 485.69

Step by Step Solution

1. Step 1: Write the proportion equation
   233.25 : 485.69 = 485.69 : x
2. Step 2: Convert to fraction form
   233.25/485.69 = 485.69/x
3. Step 3: Cross multiply
   233.25x = 485.69 × 485.69
4. Step 4: Simplify right side
   233.25x = 235,892.35
5. Step 5: Solve for x
   x = 235,892.35/233.25
6. Step 6: Final answer
   x = 1,011.33