Finding the Third Proportional to 339,216 and 498,456

Step by Step Solution

1. Step 1: Write the proportion equation
   339,216 : 498,456 = 498,456 : x
2. Step 2: Convert to fraction form
   339,216/498,456 = 498,456/x
3. Step 3: Cross multiply
   339,216x = 498,456 × 498,456
4. Step 4: Simplify right side
   339,216x = 248,458,383,936
5. Step 5: Solve for x
   x = 248,458,383,936/339,216
6. Step 6: Final answer
   x = 732,448.89