Finding the Third Proportional to 411,983 and 902,514

Step by Step Solution

1. Step 1: Write the proportion equation
   411,983 : 902,514 = 902,514 : x
2. Step 2: Convert to fraction form
   411,983/902,514 = 902,514/x
3. Step 3: Cross multiply
   411,983x = 902,514 × 902,514
4. Step 4: Simplify right side
   411,983x = 814,531,520,196
5. Step 5: Solve for x
   x = 814,531,520,196/411,983
6. Step 6: Final answer
   x = 1,977,099.83