Finding the Third Proportional to 384,846 and 819,514

Step by Step Solution

1. Step 1: Write the proportion equation
   384,846 : 819,514 = 819,514 : x
2. Step 2: Convert to fraction form
   384,846/819,514 = 819,514/x
3. Step 3: Cross multiply
   384,846x = 819,514 × 819,514
4. Step 4: Simplify right side
   384,846x = 671,603,196,196
5. Step 5: Solve for x
   x = 671,603,196,196/384,846
6. Step 6: Final answer
   x = 1,745,121.93