Finding the Third Proportional to 126,104 and 188,256

Step by Step Solution

1. Step 1: Write the proportion equation
   126,104 : 188,256 = 188,256 : x
2. Step 2: Convert to fraction form
   126,104/188,256 = 188,256/x
3. Step 3: Cross multiply
   126,104x = 188,256 × 188,256
4. Step 4: Simplify right side
   126,104x = 35,440,321,536
5. Step 5: Solve for x
   x = 35,440,321,536/126,104
6. Step 6: Final answer
   x = 281,040.42