Finding the Third Proportional to 268,408.69 and 415,066.78

Step by Step Solution

1. Step 1: Write the proportion equation
   268,408.69 : 415,066.78 = 415,066.78 : x
2. Step 2: Convert to fraction form
   268,408.69/415,066.78 = 415,066.78/x
3. Step 3: Cross multiply
   268,408.69x = 415,066.78 × 415,066.78
4. Step 4: Simplify right side
   268,408.69x = 172,280,432,897.24
5. Step 5: Solve for x
   x = 172,280,432,897.24/268,408.69
6. Step 6: Final answer
   x = 641,858.63