Finding the Third Proportional to 213.89 and 468.28

Step by Step Solution

1. Step 1: Write the proportion equation
   213.89 : 468.28 = 468.28 : x
2. Step 2: Convert to fraction form
   213.89/468.28 = 468.28/x
3. Step 3: Cross multiply
   213.89x = 468.28 × 468.28
4. Step 4: Simplify right side
   213.89x = 219,287.33
5. Step 5: Solve for x
   x = 219,287.33/213.89
6. Step 6: Final answer
   x = 1,025.23