Finding the Third Proportional to 95,741 and 204,514

Step by Step Solution

1. Step 1: Write the proportion equation
   95,741 : 204,514 = 204,514 : x
2. Step 2: Convert to fraction form
   95,741/204,514 = 204,514/x
3. Step 3: Cross multiply
   95,741x = 204,514 × 204,514
4. Step 4: Simplify right side
   95,741x = 41,825,976,196
5. Step 5: Solve for x
   x = 41,825,976,196/95,741
6. Step 6: Final answer
   x = 436,865.88