Finding the Third Proportional to 120,666 and 259,744

Step by Step Solution

1. Step 1: Write the proportion equation
   120,666 : 259,744 = 259,744 : x
2. Step 2: Convert to fraction form
   120,666/259,744 = 259,744/x
3. Step 3: Cross multiply
   120,666x = 259,744 × 259,744
4. Step 4: Simplify right side
   120,666x = 67,466,945,536
5. Step 5: Solve for x
   x = 67,466,945,536/120,666
6. Step 6: Final answer
   x = 559,121.42