Finding the Third Proportional to 274,160 and 419,016

Step by Step Solution

1. Step 1: Write the proportion equation
   274,160 : 419,016 = 419,016 : x
2. Step 2: Convert to fraction form
   274,160/419,016 = 419,016/x
3. Step 3: Cross multiply
   274,160x = 419,016 × 419,016
4. Step 4: Simplify right side
   274,160x = 175,574,408,256
5. Step 5: Solve for x
   x = 175,574,408,256/274,160
6. Step 6: Final answer
   x = 640,408.55