Finding the Third Proportional to 25,768 and 56,456

Step by Step Solution

1. Step 1: Write the proportion equation
   25,768 : 56,456 = 56,456 : x
2. Step 2: Convert to fraction form
   25,768/56,456 = 56,456/x
3. Step 3: Cross multiply
   25,768x = 56,456 × 56,456
4. Step 4: Simplify right side
   25,768x = 3,187,279,936
5. Step 5: Solve for x
   x = 3,187,279,936/25,768
6. Step 6: Final answer
   x = 123,691.40