Finding the Third Proportional to 120,771 and 260,010

Step by Step Solution

1. Step 1: Write the proportion equation
   120,771 : 260,010 = 260,010 : x
2. Step 2: Convert to fraction form
   120,771/260,010 = 260,010/x
3. Step 3: Cross multiply
   120,771x = 260,010 × 260,010
4. Step 4: Simplify right side
   120,771x = 67,605,200,100
5. Step 5: Solve for x
   x = 67,605,200,100/120,771
6. Step 6: Final answer
   x = 559,780.08