Finding the Third Proportional to 366,978 and 561,408

Step by Step Solution

1. Step 1: Write the proportion equation
   366,978 : 561,408 = 561,408 : x
2. Step 2: Convert to fraction form
   366,978/561,408 = 561,408/x
3. Step 3: Cross multiply
   366,978x = 561,408 × 561,408
4. Step 4: Simplify right side
   366,978x = 315,178,942,464
5. Step 5: Solve for x
   x = 315,178,942,464/366,978
6. Step 6: Final answer
   x = 858,849.69