Finding the Third Proportional to 204,012 and 337,142

Step by Step Solution

1. Step 1: Write the proportion equation
   204,012 : 337,142 = 337,142 : x
2. Step 2: Convert to fraction form
   204,012/337,142 = 337,142/x
3. Step 3: Cross multiply
   204,012x = 337,142 × 337,142
4. Step 4: Simplify right side
   204,012x = 113,664,728,164
5. Step 5: Solve for x
   x = 113,664,728,164/204,012
6. Step 6: Final answer
   x = 557,147.27