Finding the Third Proportional to 647,997 and 1,413,909

Step by Step Solution

1. Step 1: Write the proportion equation
   647,997 : 1,413,909 = 1,413,909 : x
2. Step 2: Convert to fraction form
   647,997/1,413,909 = 1,413,909/x
3. Step 3: Cross multiply
   647,997x = 1,413,909 × 1,413,909
4. Step 4: Simplify right side
   647,997x = 1,999,138,660,281
5. Step 5: Solve for x
   x = 1,999,138,660,281/647,997
6. Step 6: Final answer
   x = 3,085,104.81