Finding the Third Proportional to 261,907 and 387,951

Step by Step Solution

1. Step 1: Write the proportion equation
   261,907 : 387,951 = 387,951 : x
2. Step 2: Convert to fraction form
   261,907/387,951 = 387,951/x
3. Step 3: Cross multiply
   261,907x = 387,951 × 387,951
4. Step 4: Simplify right side
   261,907x = 150,505,978,401
5. Step 5: Solve for x
   x = 150,505,978,401/261,907
6. Step 6: Final answer
   x = 574,654.28