Finding the Third Proportional to 322,760,789,022 and 706,322,635,692

Step by Step Solution

1. Step 1: Write the proportion equation
   322,760,789,022 : 706,322,635,692 = 706,322,635,692 : x
2. Step 2: Convert to fraction form
   322,760,789,022/706,322,635,692 = 706,322,635,692/x
3. Step 3: Cross multiply
   322,760,789,022x = 706,322,635,692 × 706,322,635,692
4. Step 4: Simplify right side
   322,760,789,022x = 498,891,665,690,893,741,981,696
5. Step 5: Solve for x
   x = 498,891,665,690,893,741,981,696/322,760,789,022
6. Step 6: Final answer
   x = 1,545,700,973,165.26