Finding the Third Proportional to 25,678 and 55,228

Step by Step Solution

1. Step 1: Write the proportion equation
   25,678 : 55,228 = 55,228 : x
2. Step 2: Convert to fraction form
   25,678/55,228 = 55,228/x
3. Step 3: Cross multiply
   25,678x = 55,228 × 55,228
4. Step 4: Simplify right side
   25,678x = 3,050,131,984
5. Step 5: Solve for x
   x = 3,050,131,984/25,678
6. Step 6: Final answer
   x = 118,783.86