Finding the Third Proportional to 259,632 and 401,568

Step by Step Solution

1. Step 1: Write the proportion equation
   259,632 : 401,568 = 401,568 : x
2. Step 2: Convert to fraction form
   259,632/401,568 = 401,568/x
3. Step 3: Cross multiply
   259,632x = 401,568 × 401,568
4. Step 4: Simplify right side
   259,632x = 161,256,858,624
5. Step 5: Solve for x
   x = 161,256,858,624/259,632
6. Step 6: Final answer
   x = 621,097.78