Finding the Third Proportional to 25,578 and 55,448

Step by Step Solution

1. Step 1: Write the proportion equation
   25,578 : 55,448 = 55,448 : x
2. Step 2: Convert to fraction form
   25,578/55,448 = 55,448/x
3. Step 3: Cross multiply
   25,578x = 55,448 × 55,448
4. Step 4: Simplify right side
   25,578x = 3,074,480,704
5. Step 5: Solve for x
   x = 3,074,480,704/25,578
6. Step 6: Final answer
   x = 120,200.20