Finding the Third Proportional to 2,077,737,087,759 and 4,468,166,462,646

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077,737,087,759 : 4,468,166,462,646 = 4,468,166,462,646 : x
2. Step 2: Convert to fraction form
   2,077,737,087,759/4,468,166,462,646 = 4,468,166,462,646/x
3. Step 3: Cross multiply
   2,077,737,087,759x = 4,468,166,462,646 × 4,468,166,462,646
4. Step 4: Simplify right side
   2,077,737,087,759x = 19,964,511,537,914,467,080,732,672
5. Step 5: Solve for x
   x = 19,964,511,537,914,467,080,732,672/2,077,737,087,759
6. Step 6: Final answer
   x = 9,608,776,613,526.08