Finding the Third Proportional to 231.31 and 488.61

Step by Step Solution

1. Step 1: Write the proportion equation
   231.31 : 488.61 = 488.61 : x
2. Step 2: Convert to fraction form
   231.31/488.61 = 488.61/x
3. Step 3: Cross multiply
   231.31x = 488.61 × 488.61
4. Step 4: Simplify right side
   231.31x = 238,740.08
5. Step 5: Solve for x
   x = 238,740.08/231.31
6. Step 6: Final answer
   x = 1,032.12