Finding the Third Proportional to 215.31 and 470.69

Step by Step Solution

1. Step 1: Write the proportion equation
   215.31 : 470.69 = 470.69 : x
2. Step 2: Convert to fraction form
   215.31/470.69 = 470.69/x
3. Step 3: Cross multiply
   215.31x = 470.69 × 470.69
4. Step 4: Simplify right side
   215.31x = 221,546.72
5. Step 5: Solve for x
   x = 221,546.72/215.31
6. Step 6: Final answer
   x = 1,028.95