Finding the Third Proportional to 120,770 and 260,140

Step by Step Solution

1. Step 1: Write the proportion equation
   120,770 : 260,140 = 260,140 : x
2. Step 2: Convert to fraction form
   120,770/260,140 = 260,140/x
3. Step 3: Cross multiply
   120,770x = 260,140 × 260,140
4. Step 4: Simplify right side
   120,770x = 67,672,819,600
5. Step 5: Solve for x
   x = 67,672,819,600/120,770
6. Step 6: Final answer
   x = 560,344.62