Finding the Third Proportional to 5,802,280,229,778 and 12,419,642,947,198

Step by Step Solution

1. Step 1: Write the proportion equation
   5,802,280,229,778 : 12,419,642,947,198 = 12,419,642,947,198 : x
2. Step 2: Convert to fraction form
   5,802,280,229,778/12,419,642,947,198 = 12,419,642,947,198/x
3. Step 3: Cross multiply
   5,802,280,229,778x = 12,419,642,947,198 × 12,419,642,947,198
4. Step 4: Simplify right side
   5,802,280,229,778x = 154,247,530,935,885,016,592,285,696
5. Step 5: Solve for x
   x = 154,247,530,935,885,016,592,285,696/5,802,280,229,778
6. Step 6: Final answer
   x = 26,583,950,589,678.20