Finding the Third Proportional to 53,736 and 117,856

Step by Step Solution

1. Step 1: Write the proportion equation
   53,736 : 117,856 = 117,856 : x
2. Step 2: Convert to fraction form
   53,736/117,856 = 117,856/x
3. Step 3: Cross multiply
   53,736x = 117,856 × 117,856
4. Step 4: Simplify right side
   53,736x = 13,890,036,736
5. Step 5: Solve for x
   x = 13,890,036,736/53,736
6. Step 6: Final answer
   x = 258,486.61