Finding the Third Proportional to 52,568 and 116,796

Step by Step Solution

1. Step 1: Write the proportion equation
   52,568 : 116,796 = 116,796 : x
2. Step 2: Convert to fraction form
   52,568/116,796 = 116,796/x
3. Step 3: Cross multiply
   52,568x = 116,796 × 116,796
4. Step 4: Simplify right side
   52,568x = 13,641,305,616
5. Step 5: Solve for x
   x = 13,641,305,616/52,568
6. Step 6: Final answer
   x = 259,498.28