Finding the Third Proportional to 107,144 and 204,568

Step by Step Solution

1. Step 1: Write the proportion equation
   107,144 : 204,568 = 204,568 : x
2. Step 2: Convert to fraction form
   107,144/204,568 = 204,568/x
3. Step 3: Cross multiply
   107,144x = 204,568 × 204,568
4. Step 4: Simplify right side
   107,144x = 41,848,066,624
5. Step 5: Solve for x
   x = 41,848,066,624/107,144
6. Step 6: Final answer
   x = 390,577.79