Finding the Third Proportional to 120,828 and 259,158

Step by Step Solution

1. Step 1: Write the proportion equation
   120,828 : 259,158 = 259,158 : x
2. Step 2: Convert to fraction form
   120,828/259,158 = 259,158/x
3. Step 3: Cross multiply
   120,828x = 259,158 × 259,158
4. Step 4: Simplify right side
   120,828x = 67,162,868,964
5. Step 5: Solve for x
   x = 67,162,868,964/120,828
6. Step 6: Final answer
   x = 555,855.17