Finding the Third Proportional to 41,507,873,120,382 and 89,262,538,415,532

Step by Step Solution

1. Step 1: Write the proportion equation
   41,507,873,120,382 : 89,262,538,415,532 = 89,262,538,415,532 : x
2. Step 2: Convert to fraction form
   41,507,873,120,382/89,262,538,415,532 = 89,262,538,415,532/x
3. Step 3: Cross multiply
   41,507,873,120,382x = 89,262,538,415,532 × 89,262,538,415,532
4. Step 4: Simplify right side
   41,507,873,120,382x = 7,967,800,764,384,325,747,848,773,632
5. Step 5: Solve for x
   x = 7,967,800,764,384,325,747,848,773,632/41,507,873,120,382
6. Step 6: Final answer
   x = 191,958,781,922,551.03