Finding the Third Proportional to 162,828 and 259,020

Step by Step Solution

1. Step 1: Write the proportion equation
   162,828 : 259,020 = 259,020 : x
2. Step 2: Convert to fraction form
   162,828/259,020 = 259,020/x
3. Step 3: Cross multiply
   162,828x = 259,020 × 259,020
4. Step 4: Simplify right side
   162,828x = 67,091,360,400
5. Step 5: Solve for x
   x = 67,091,360,400/162,828
6. Step 6: Final answer
   x = 412,038.23