Finding the Third Proportional to 120,155 and 259,584

Step by Step Solution

1. Step 1: Write the proportion equation
   120,155 : 259,584 = 259,584 : x
2. Step 2: Convert to fraction form
   120,155/259,584 = 259,584/x
3. Step 3: Cross multiply
   120,155x = 259,584 × 259,584
4. Step 4: Simplify right side
   120,155x = 67,383,853,056
5. Step 5: Solve for x
   x = 67,383,853,056/120,155
6. Step 6: Final answer
   x = 560,807.73