Finding the Third Proportional to 53,856 and 116,544

Step by Step Solution

1. Step 1: Write the proportion equation
   53,856 : 116,544 = 116,544 : x
2. Step 2: Convert to fraction form
   53,856/116,544 = 116,544/x
3. Step 3: Cross multiply
   53,856x = 116,544 × 116,544
4. Step 4: Simplify right side
   53,856x = 13,582,503,936
5. Step 5: Solve for x
   x = 13,582,503,936/53,856
6. Step 6: Final answer
   x = 252,200.39