Finding the Third Proportional to 25,678 and 55,568

Step by Step Solution

1. Step 1: Write the proportion equation
   25,678 : 55,568 = 55,568 : x
2. Step 2: Convert to fraction form
   25,678/55,568 = 55,568/x
3. Step 3: Cross multiply
   25,678x = 55,568 × 55,568
4. Step 4: Simplify right side
   25,678x = 3,087,802,624
5. Step 5: Solve for x
   x = 3,087,802,624/25,678
6. Step 6: Final answer
   x = 120,250.90