Finding the Third Proportional to 322,760,789,126 and 706,322,635,892

Step by Step Solution

1. Step 1: Write the proportion equation
   322,760,789,126 : 706,322,635,892 = 706,322,635,892 : x
2. Step 2: Convert to fraction form
   322,760,789,126/706,322,635,892 = 706,322,635,892/x
3. Step 3: Cross multiply
   322,760,789,126x = 706,322,635,892 × 706,322,635,892
4. Step 4: Simplify right side
   322,760,789,126x = 498,891,665,973,422,797,619,200
5. Step 5: Solve for x
   x = 498,891,665,973,422,797,619,200/322,760,789,126
6. Step 6: Final answer
   x = 1,545,700,973,542.56