Finding the Third Proportional to 233.69 and 508.31

Step by Step Solution

1. Step 1: Write the proportion equation
   233.69 : 508.31 = 508.31 : x
2. Step 2: Convert to fraction form
   233.69/508.31 = 508.31/x
3. Step 3: Cross multiply
   233.69x = 508.31 × 508.31
4. Step 4: Simplify right side
   233.69x = 258,381.60
5. Step 5: Solve for x
   x = 258,381.60/233.69
6. Step 6: Final answer
   x = 1,105.67