Finding the Third Proportional to 41,507,873,120,384 and 89,262,538,415,536

Step by Step Solution

1. Step 1: Write the proportion equation
   41,507,873,120,384 : 89,262,538,415,536 = 89,262,538,415,536 : x
2. Step 2: Convert to fraction form
   41,507,873,120,384/89,262,538,415,536 = 89,262,538,415,536/x
3. Step 3: Cross multiply
   41,507,873,120,384x = 89,262,538,415,536 × 89,262,538,415,536
4. Step 4: Simplify right side
   41,507,873,120,384x = 7,967,800,764,385,040,430,406,828,032
5. Step 5: Solve for x
   x = 7,967,800,764,385,040,430,406,828,032/41,507,873,120,384
6. Step 6: Final answer
   x = 191,958,781,922,559