Finding the Third Proportional to 55,648 and 113,856

Step by Step Solution

1. Step 1: Write the proportion equation
   55,648 : 113,856 = 113,856 : x
2. Step 2: Convert to fraction form
   55,648/113,856 = 113,856/x
3. Step 3: Cross multiply
   55,648x = 113,856 × 113,856
4. Step 4: Simplify right side
   55,648x = 12,963,188,736
5. Step 5: Solve for x
   x = 12,963,188,736/55,648
6. Step 6: Final answer
   x = 232,949.77