Finding the Third Proportional to 50,944 and 105,728

Step by Step Solution

1. Step 1: Write the proportion equation
   50,944 : 105,728 = 105,728 : x
2. Step 2: Convert to fraction form
   50,944/105,728 = 105,728/x
3. Step 3: Cross multiply
   50,944x = 105,728 × 105,728
4. Step 4: Simplify right side
   50,944x = 11,178,409,984
5. Step 5: Solve for x
   x = 11,178,409,984/50,944
6. Step 6: Final answer
   x = 219,425.45