Finding the Third Proportional to 120,865.50 and 259,227

Step by Step Solution

1. Step 1: Write the proportion equation
   120,865.50 : 259,227 = 259,227 : x
2. Step 2: Convert to fraction form
   120,865.50/259,227 = 259,227/x
3. Step 3: Cross multiply
   120,865.50x = 259,227 × 259,227
4. Step 4: Simplify right side
   120,865.50x = 67,198,637,529
5. Step 5: Solve for x
   x = 67,198,637,529/120,865.50
6. Step 6: Final answer
   x = 555,978.65