Finding the Third Proportional to 53,856 and 117,144

Step by Step Solution

1. Step 1: Write the proportion equation
   53,856 : 117,144 = 117,144 : x
2. Step 2: Convert to fraction form
   53,856/117,144 = 117,144/x
3. Step 3: Cross multiply
   53,856x = 117,144 × 117,144
4. Step 4: Simplify right side
   53,856x = 13,722,716,736
5. Step 5: Solve for x
   x = 13,722,716,736/53,856
6. Step 6: Final answer
   x = 254,803.86