Finding the Third Proportional to 34,434,806,091,249 and 75,888,522,270,780

Step by Step Solution

1. Step 1: Write the proportion equation
   34,434,806,091,249 : 75,888,522,270,780 = 75,888,522,270,780 : x
2. Step 2: Convert to fraction form
   34,434,806,091,249/75,888,522,270,780 = 75,888,522,270,780/x
3. Step 3: Cross multiply
   34,434,806,091,249x = 75,888,522,270,780 × 75,888,522,270,780
4. Step 4: Simplify right side
   34,434,806,091,249x = 5,759,067,812,442,671,794,846,957,568
5. Step 5: Solve for x
   x = 5,759,067,812,442,671,794,846,957,568/34,434,806,091,249
6. Step 6: Final answer
   x = 167,245,542,117,521.53