Finding the Third Proportional to 25,678 and 55,189

Step by Step Solution

1. Step 1: Write the proportion equation
   25,678 : 55,189 = 55,189 : x
2. Step 2: Convert to fraction form
   25,678/55,189 = 55,189/x
3. Step 3: Cross multiply
   25,678x = 55,189 × 55,189
4. Step 4: Simplify right side
   25,678x = 3,045,825,721
5. Step 5: Solve for x
   x = 3,045,825,721/25,678
6. Step 6: Final answer
   x = 118,616.16