Finding the Third Proportional to 120,626 and 261,666

Step by Step Solution

1. Step 1: Write the proportion equation
   120,626 : 261,666 = 261,666 : x
2. Step 2: Convert to fraction form
   120,626/261,666 = 261,666/x
3. Step 3: Cross multiply
   120,626x = 261,666 × 261,666
4. Step 4: Simplify right side
   120,626x = 68,469,095,556
5. Step 5: Solve for x
   x = 68,469,095,556/120,626
6. Step 6: Final answer
   x = 567,614.74