Finding the Third Proportional to 120,840 and 259,182

Step by Step Solution

1. Step 1: Write the proportion equation
   120,840 : 259,182 = 259,182 : x
2. Step 2: Convert to fraction form
   120,840/259,182 = 259,182/x
3. Step 3: Cross multiply
   120,840x = 259,182 × 259,182
4. Step 4: Simplify right side
   120,840x = 67,175,309,124
5. Step 5: Solve for x
   x = 67,175,309,124/120,840
6. Step 6: Final answer
   x = 555,902.92