Finding the Third Proportional to 35,462,649 and 76,978,413

Step by Step Solution

1. Step 1: Write the proportion equation
   35,462,649 : 76,978,413 = 76,978,413 : x
2. Step 2: Convert to fraction form
   35,462,649/76,978,413 = 76,978,413/x
3. Step 3: Cross multiply
   35,462,649x = 76,978,413 × 76,978,413
4. Step 4: Simplify right side
   35,462,649x = 5,925,676,067,998,569
5. Step 5: Solve for x
   x = 5,925,676,067,998,569/35,462,649
6. Step 6: Final answer
   x = 167,096,261.42