Finding the Third Proportional to 50,256 and 106,128

Step by Step Solution

1. Step 1: Write the proportion equation
   50,256 : 106,128 = 106,128 : x
2. Step 2: Convert to fraction form
   50,256/106,128 = 106,128/x
3. Step 3: Cross multiply
   50,256x = 106,128 × 106,128
4. Step 4: Simplify right side
   50,256x = 11,263,152,384
5. Step 5: Solve for x
   x = 11,263,152,384/50,256
6. Step 6: Final answer
   x = 224,115.58