Finding the Third Proportional to 25,286 and 55,180

Step by Step Solution

1. Step 1: Write the proportion equation
   25,286 : 55,180 = 55,180 : x
2. Step 2: Convert to fraction form
   25,286/55,180 = 55,180/x
3. Step 3: Cross multiply
   25,286x = 55,180 × 55,180
4. Step 4: Simplify right side
   25,286x = 3,044,832,400
5. Step 5: Solve for x
   x = 3,044,832,400/25,286
6. Step 6: Final answer
   x = 120,415.74