Finding the Third Proportional to 120,819 and 262,401

Step by Step Solution

1. Step 1: Write the proportion equation
   120,819 : 262,401 = 262,401 : x
2. Step 2: Convert to fraction form
   120,819/262,401 = 262,401/x
3. Step 3: Cross multiply
   120,819x = 262,401 × 262,401
4. Step 4: Simplify right side
   120,819x = 68,854,284,801
5. Step 5: Solve for x
   x = 68,854,284,801/120,819
6. Step 6: Final answer
   x = 569,896.17