Finding the Third Proportional to 194,787,852,002 and 418,890,605,917

Step by Step Solution

1. Step 1: Write the proportion equation
   194,787,852,002 : 418,890,605,917 = 418,890,605,917 : x
2. Step 2: Convert to fraction form
   194,787,852,002/418,890,605,917 = 418,890,605,917/x
3. Step 3: Cross multiply
   194,787,852,002x = 418,890,605,917 × 418,890,605,917
4. Step 4: Simplify right side
   194,787,852,002x = 175,469,339,725,511,404,814,336
5. Step 5: Solve for x
   x = 175,469,339,725,511,404,814,336/194,787,852,002
6. Step 6: Final answer
   x = 900,822,807,593.31