Finding the Third Proportional to 120,670 and 259,834

Step by Step Solution

1. Step 1: Write the proportion equation
   120,670 : 259,834 = 259,834 : x
2. Step 2: Convert to fraction form
   120,670/259,834 = 259,834/x
3. Step 3: Cross multiply
   120,670x = 259,834 × 259,834
4. Step 4: Simplify right side
   120,670x = 67,513,707,556
5. Step 5: Solve for x
   x = 67,513,707,556/120,670
6. Step 6: Final answer
   x = 559,490.41