Finding the Third Proportional to 107,145 and 204,570

Step by Step Solution

1. Step 1: Write the proportion equation
   107,145 : 204,570 = 204,570 : x
2. Step 2: Convert to fraction form
   107,145/204,570 = 204,570/x
3. Step 3: Cross multiply
   107,145x = 204,570 × 204,570
4. Step 4: Simplify right side
   107,145x = 41,848,884,900
5. Step 5: Solve for x
   x = 41,848,884,900/107,145
6. Step 6: Final answer
   x = 390,581.78