Finding the Third Proportional to 194,908 and 419,894.25

Step by Step Solution

1. Step 1: Write the proportion equation
   194,908 : 419,894.25 = 419,894.25 : x
2. Step 2: Convert to fraction form
   194,908/419,894.25 = 419,894.25/x
3. Step 3: Cross multiply
   194,908x = 419,894.25 × 419,894.25
4. Step 4: Simplify right side
   194,908x = 176,311,181,183.06
5. Step 5: Solve for x
   x = 176,311,181,183.06/194,908
6. Step 6: Final answer
   x = 904,586.68