Finding the Third Proportional to 50,256 and 105,680

Step by Step Solution

1. Step 1: Write the proportion equation
   50,256 : 105,680 = 105,680 : x
2. Step 2: Convert to fraction form
   50,256/105,680 = 105,680/x
3. Step 3: Cross multiply
   50,256x = 105,680 × 105,680
4. Step 4: Simplify right side
   50,256x = 11,168,262,400
5. Step 5: Solve for x
   x = 11,168,262,400/50,256
6. Step 6: Final answer
   x = 222,227.44