Finding the Third Proportional to 580,648.50 and 1,214,514

Step by Step Solution

1. Step 1: Write the proportion equation
   580,648.50 : 1,214,514 = 1,214,514 : x
2. Step 2: Convert to fraction form
   580,648.50/1,214,514 = 1,214,514/x
3. Step 3: Cross multiply
   580,648.50x = 1,214,514 × 1,214,514
4. Step 4: Simplify right side
   580,648.50x = 1,475,044,256,196
5. Step 5: Solve for x
   x = 1,475,044,256,196/580,648.50
6. Step 6: Final answer
   x = 2,540,339.39