Finding the Third Proportional to 138,067,964,921 and 322,589,064,902

Step by Step Solution

1. Step 1: Write the proportion equation
   138,067,964,921 : 322,589,064,902 = 322,589,064,902 : x
2. Step 2: Convert to fraction form
   138,067,964,921/322,589,064,902 = 322,589,064,902/x
3. Step 3: Cross multiply
   138,067,964,921x = 322,589,064,902 × 322,589,064,902
4. Step 4: Simplify right side
   138,067,964,921x = 104,063,704,794,346,760,962,048
5. Step 5: Solve for x
   x = 104,063,704,794,346,760,962,048/138,067,964,921
6. Step 6: Final answer
   x = 753,713,613,827.00