Finding the Third Proportional to 138,067,964,919 and 322,589,064,897

Step by Step Solution

1. Step 1: Write the proportion equation
   138,067,964,919 : 322,589,064,897 = 322,589,064,897 : x
2. Step 2: Convert to fraction form
   138,067,964,919/322,589,064,897 = 322,589,064,897/x
3. Step 3: Cross multiply
   138,067,964,919x = 322,589,064,897 × 322,589,064,897
4. Step 4: Simplify right side
   138,067,964,919x = 104,063,704,791,120,871,424,000
5. Step 5: Solve for x
   x = 104,063,704,791,120,871,424,000/138,067,964,919
6. Step 6: Final answer
   x = 753,713,613,814.56