Finding the Third Proportional to 194,787,851,978 and 418,890,605,874.25

Step by Step Solution

1. Step 1: Write the proportion equation
   194,787,851,978 : 418,890,605,874.25 = 418,890,605,874.25 : x
2. Step 2: Convert to fraction form
   194,787,851,978/418,890,605,874.25 = 418,890,605,874.25/x
3. Step 3: Cross multiply
   194,787,851,978x = 418,890,605,874.25 × 418,890,605,874.25
4. Step 4: Simplify right side
   194,787,851,978x = 175,469,339,689,696,242,958,336
5. Step 5: Solve for x
   x = 175,469,339,689,696,242,958,336/194,787,851,978
6. Step 6: Final answer
   x = 900,822,807,520.43