Finding the Third Proportional to 50,168 and 106,096

Step by Step Solution

1. Step 1: Write the proportion equation
   50,168 : 106,096 = 106,096 : x
2. Step 2: Convert to fraction form
   50,168/106,096 = 106,096/x
3. Step 3: Cross multiply
   50,168x = 106,096 × 106,096
4. Step 4: Simplify right side
   50,168x = 11,256,361,216
5. Step 5: Solve for x
   x = 11,256,361,216/50,168
6. Step 6: Final answer
   x = 224,373.33