Finding the Third Proportional to 366,972 and 561,401

Step by Step Solution

1. Step 1: Write the proportion equation
   366,972 : 561,401 = 561,401 : x
2. Step 2: Convert to fraction form
   366,972/561,401 = 561,401/x
3. Step 3: Cross multiply
   366,972x = 561,401 × 561,401
4. Step 4: Simplify right side
   366,972x = 315,171,082,801
5. Step 5: Solve for x
   x = 315,171,082,801/366,972
6. Step 6: Final answer
   x = 858,842.32