Finding the Third Proportional to 254,856 and 356,544

Step by Step Solution

1. Step 1: Write the proportion equation
   254,856 : 356,544 = 356,544 : x
2. Step 2: Convert to fraction form
   254,856/356,544 = 356,544/x
3. Step 3: Cross multiply
   254,856x = 356,544 × 356,544
4. Step 4: Simplify right side
   254,856x = 127,123,623,936
5. Step 5: Solve for x
   x = 127,123,623,936/254,856
6. Step 6: Final answer
   x = 498,805.69