Finding the Third Proportional to 693,646,821 and 1,002,199,872

Step by Step Solution

1. Step 1: Write the proportion equation
   693,646,821 : 1,002,199,872 = 1,002,199,872 : x
2. Step 2: Convert to fraction form
   693,646,821/1,002,199,872 = 1,002,199,872/x
3. Step 3: Cross multiply
   693,646,821x = 1,002,199,872 × 1,002,199,872
4. Step 4: Simplify right side
   693,646,821x = 1,004,404,583,436,816,384
5. Step 5: Solve for x
   x = 1,004,404,583,436,816,384/693,646,821
6. Step 6: Final answer
   x = 1,448,005,747.35