Finding the Third Proportional to 52,856 and 114,568

Step by Step Solution

1. Step 1: Write the proportion equation
   52,856 : 114,568 = 114,568 : x
2. Step 2: Convert to fraction form
   52,856/114,568 = 114,568/x
3. Step 3: Cross multiply
   52,856x = 114,568 × 114,568
4. Step 4: Simplify right side
   52,856x = 13,125,826,624
5. Step 5: Solve for x
   x = 13,125,826,624/52,856
6. Step 6: Final answer
   x = 248,331.82