Finding the Third Proportional to 200,568 and 413,848

Step by Step Solution

1. Step 1: Write the proportion equation
   200,568 : 413,848 = 413,848 : x
2. Step 2: Convert to fraction form
   200,568/413,848 = 413,848/x
3. Step 3: Cross multiply
   200,568x = 413,848 × 413,848
4. Step 4: Simplify right side
   200,568x = 171,270,167,104
5. Step 5: Solve for x
   x = 171,270,167,104/200,568
6. Step 6: Final answer
   x = 853,925.69