Finding the Third Proportional to 107,142 and 204,564

Step by Step Solution

1. Step 1: Write the proportion equation
   107,142 : 204,564 = 204,564 : x
2. Step 2: Convert to fraction form
   107,142/204,564 = 204,564/x
3. Step 3: Cross multiply
   107,142x = 204,564 × 204,564
4. Step 4: Simplify right side
   107,142x = 41,846,430,096
5. Step 5: Solve for x
   x = 41,846,430,096/107,142
6. Step 6: Final answer
   x = 390,569.81