Finding the Third Proportional to 622.88 and 922.27

Step by Step Solution

1. Step 1: Write the proportion equation
   622.88 : 922.27 = 922.27 : x
2. Step 2: Convert to fraction form
   622.88/922.27 = 922.27/x
3. Step 3: Cross multiply
   622.88x = 922.27 × 922.27
4. Step 4: Simplify right side
   622.88x = 850,573.88
5. Step 5: Solve for x
   x = 850,573.88/622.88
6. Step 6: Final answer
   x = 1,365.56