Finding the Third Proportional to 2,077,737,087,756 and 4,468,166,462,640

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077,737,087,756 : 4,468,166,462,640 = 4,468,166,462,640 : x
2. Step 2: Convert to fraction form
   2,077,737,087,756/4,468,166,462,640 = 4,468,166,462,640/x
3. Step 3: Cross multiply
   2,077,737,087,756x = 4,468,166,462,640 × 4,468,166,462,640
4. Step 4: Simplify right side
   2,077,737,087,756x = 19,964,511,537,860,848,709,009,408
5. Step 5: Solve for x
   x = 19,964,511,537,860,848,709,009,408/2,077,737,087,756
6. Step 6: Final answer
   x = 9,608,776,613,514.15