Finding the Third Proportional to 100,593,023,823 and 204,141,922,488

Step by Step Solution

1. Step 1: Write the proportion equation
   100,593,023,823 : 204,141,922,488 = 204,141,922,488 : x
2. Step 2: Convert to fraction form
   100,593,023,823/204,141,922,488 = 204,141,922,488/x
3. Step 3: Cross multiply
   100,593,023,823x = 204,141,922,488 × 204,141,922,488
4. Step 4: Simplify right side
   100,593,023,823x = 41,673,924,517,096,597,749,760
5. Step 5: Solve for x
   x = 41,673,924,517,096,597,749,760/100,593,023,823
6. Step 6: Final answer
   x = 414,282,451,538.83