Finding the Third Proportional to 59,728 and 119,456

Step by Step Solution

1. Step 1: Write the proportion equation
   59,728 : 119,456 = 119,456 : x
2. Step 2: Convert to fraction form
   59,728/119,456 = 119,456/x
3. Step 3: Cross multiply
   59,728x = 119,456 × 119,456
4. Step 4: Simplify right side
   59,728x = 14,269,735,936
5. Step 5: Solve for x
   x = 14,269,735,936/59,728
6. Step 6: Final answer
   x = 238,912