Finding the Third Proportional to 271.41 and 622.83

Step by Step Solution

1. Step 1: Write the proportion equation
   271.41 : 622.83 = 622.83 : x
2. Step 2: Convert to fraction form
   271.41/622.83 = 622.83/x
3. Step 3: Cross multiply
   271.41x = 622.83 × 622.83
4. Step 4: Simplify right side
   271.41x = 387,914.87
5. Step 5: Solve for x
   x = 387,914.87/271.41
6. Step 6: Final answer
   x = 1,429.28