Finding the Third Proportional to 322,760,789,016 and 706,322,635,680

Step by Step Solution

1. Step 1: Write the proportion equation
   322,760,789,016 : 706,322,635,680 = 706,322,635,680 : x
2. Step 2: Convert to fraction form
   322,760,789,016/706,322,635,680 = 706,322,635,680/x
3. Step 3: Cross multiply
   322,760,789,016x = 706,322,635,680 × 706,322,635,680
4. Step 4: Simplify right side
   322,760,789,016x = 498,891,665,673,941,975,826,432
5. Step 5: Solve for x
   x = 498,891,665,673,941,975,826,432/322,760,789,016
6. Step 6: Final answer
   x = 1,545,700,973,141.48