Finding the Third Proportional to 120,766 and 264,860

Step by Step Solution

1. Step 1: Write the proportion equation
   120,766 : 264,860 = 264,860 : x
2. Step 2: Convert to fraction form
   120,766/264,860 = 264,860/x
3. Step 3: Cross multiply
   120,766x = 264,860 × 264,860
4. Step 4: Simplify right side
   120,766x = 70,150,819,600
5. Step 5: Solve for x
   x = 70,150,819,600/120,766
6. Step 6: Final answer
   x = 580,882.20