Finding the Third Proportional to 215.38 and 468.88

Step by Step Solution

1. Step 1: Write the proportion equation
   215.38 : 468.88 = 468.88 : x
2. Step 2: Convert to fraction form
   215.38/468.88 = 468.88/x
3. Step 3: Cross multiply
   215.38x = 468.88 × 468.88
4. Step 4: Simplify right side
   215.38x = 219,843.77
5. Step 5: Solve for x
   x = 219,843.77/215.38
6. Step 6: Final answer
   x = 1,020.75