Finding the Third Proportional to 120,846 and 259,182

Step by Step Solution

1. Step 1: Write the proportion equation
   120,846 : 259,182 = 259,182 : x
2. Step 2: Convert to fraction form
   120,846/259,182 = 259,182/x
3. Step 3: Cross multiply
   120,846x = 259,182 × 259,182
4. Step 4: Simplify right side
   120,846x = 67,175,309,124
5. Step 5: Solve for x
   x = 67,175,309,124/120,846
6. Step 6: Final answer
   x = 555,875.32