Finding the Third Proportional to 322,760,789,124 and 706,322,635,888

Step by Step Solution

1. Step 1: Write the proportion equation
   322,760,789,124 : 706,322,635,888 = 706,322,635,888 : x
2. Step 2: Convert to fraction form
   322,760,789,124/706,322,635,888 = 706,322,635,888/x
3. Step 3: Cross multiply
   322,760,789,124x = 706,322,635,888 × 706,322,635,888
4. Step 4: Simplify right side
   322,760,789,124x = 498,891,665,967,772,231,270,400
5. Step 5: Solve for x
   x = 498,891,665,967,772,231,270,400/322,760,789,124
6. Step 6: Final answer
   x = 1,545,700,973,534.63