Finding the Third Proportional to 100,593,023,860 and 204,141,922,561

Step by Step Solution

1. Step 1: Write the proportion equation
   100,593,023,860 : 204,141,922,561 = 204,141,922,561 : x
2. Step 2: Convert to fraction form
   100,593,023,860/204,141,922,561 = 204,141,922,561/x
3. Step 3: Cross multiply
   100,593,023,860x = 204,141,922,561 × 204,141,922,561
4. Step 4: Simplify right side
   100,593,023,860x = 41,673,924,546,901,321,973,760
5. Step 5: Solve for x
   x = 41,673,924,546,901,321,973,760/100,593,023,860
6. Step 6: Final answer
   x = 414,282,451,682.74