Finding the Third Proportional to 107,856 and 158,256

Step by Step Solution

1. Step 1: Write the proportion equation
   107,856 : 158,256 = 158,256 : x
2. Step 2: Convert to fraction form
   107,856/158,256 = 158,256/x
3. Step 3: Cross multiply
   107,856x = 158,256 × 158,256
4. Step 4: Simplify right side
   107,856x = 25,044,961,536
5. Step 5: Solve for x
   x = 25,044,961,536/107,856
6. Step 6: Final answer
   x = 232,207.40