Finding the Third Proportional to 259,828 and 380,526

Step by Step Solution

1. Step 1: Write the proportion equation
   259,828 : 380,526 = 380,526 : x
2. Step 2: Convert to fraction form
   259,828/380,526 = 380,526/x
3. Step 3: Cross multiply
   259,828x = 380,526 × 380,526
4. Step 4: Simplify right side
   259,828x = 144,800,036,676
5. Step 5: Solve for x
   x = 144,800,036,676/259,828
6. Step 6: Final answer
   x = 557,291.89