Finding the Third Proportional to 50,256 and 108,424

Step by Step Solution

1. Step 1: Write the proportion equation
   50,256 : 108,424 = 108,424 : x
2. Step 2: Convert to fraction form
   50,256/108,424 = 108,424/x
3. Step 3: Cross multiply
   50,256x = 108,424 × 108,424
4. Step 4: Simplify right side
   50,256x = 11,755,763,776
5. Step 5: Solve for x
   x = 11,755,763,776/50,256
6. Step 6: Final answer
   x = 233,917.62