Finding the Third Proportional to 120,771 and 260,142

Step by Step Solution

1. Step 1: Write the proportion equation
   120,771 : 260,142 = 260,142 : x
2. Step 2: Convert to fraction form
   120,771/260,142 = 260,142/x
3. Step 3: Cross multiply
   120,771x = 260,142 × 260,142
4. Step 4: Simplify right side
   120,771x = 67,673,860,164
5. Step 5: Solve for x
   x = 67,673,860,164/120,771
6. Step 6: Final answer
   x = 560,348.59