Finding the Third Proportional to 123,544 and 251,456

Step by Step Solution

1. Step 1: Write the proportion equation
   123,544 : 251,456 = 251,456 : x
2. Step 2: Convert to fraction form
   123,544/251,456 = 251,456/x
3. Step 3: Cross multiply
   123,544x = 251,456 × 251,456
4. Step 4: Simplify right side
   123,544x = 63,230,119,936
5. Step 5: Solve for x
   x = 63,230,119,936/123,544
6. Step 6: Final answer
   x = 511,802.43