Finding the Third Proportional to 454.78 and 622.27

Step by Step Solution

1. Step 1: Write the proportion equation
   454.78 : 622.27 = 622.27 : x
2. Step 2: Convert to fraction form
   454.78/622.27 = 622.27/x
3. Step 3: Cross multiply
   454.78x = 622.27 × 622.27
4. Step 4: Simplify right side
   454.78x = 387,214.51
5. Step 5: Solve for x
   x = 387,214.51/454.78
6. Step 6: Final answer
   x = 851.43