Finding the Third Proportional to 827,404 and 1,785,514

Step by Step Solution

1. Step 1: Write the proportion equation
   827,404 : 1,785,514 = 1,785,514 : x
2. Step 2: Convert to fraction form
   827,404/1,785,514 = 1,785,514/x
3. Step 3: Cross multiply
   827,404x = 1,785,514 × 1,785,514
4. Step 4: Simplify right side
   827,404x = 3,188,060,244,196
5. Step 5: Solve for x
   x = 3,188,060,244,196/827,404
6. Step 6: Final answer
   x = 3,853,087.78