Finding the Third Proportional to 204,010 and 337,139

Step by Step Solution

1. Step 1: Write the proportion equation
   204,010 : 337,139 = 337,139 : x
2. Step 2: Convert to fraction form
   204,010/337,139 = 337,139/x
3. Step 3: Cross multiply
   204,010x = 337,139 × 337,139
4. Step 4: Simplify right side
   204,010x = 113,662,705,321
5. Step 5: Solve for x
   x = 113,662,705,321/204,010
6. Step 6: Final answer
   x = 557,142.81