Finding the Third Proportional to 25,574 and 56,204

Step by Step Solution

1. Step 1: Write the proportion equation
   25,574 : 56,204 = 56,204 : x
2. Step 2: Convert to fraction form
   25,574/56,204 = 56,204/x
3. Step 3: Cross multiply
   25,574x = 56,204 × 56,204
4. Step 4: Simplify right side
   25,574x = 3,158,889,616
5. Step 5: Solve for x
   x = 3,158,889,616/25,574
6. Step 6: Final answer
   x = 123,519.58