Finding the Third Proportional to 194,814 and 419,976

Step by Step Solution

1. Step 1: Write the proportion equation
   194,814 : 419,976 = 419,976 : x
2. Step 2: Convert to fraction form
   194,814/419,976 = 419,976/x
3. Step 3: Cross multiply
   194,814x = 419,976 × 419,976
4. Step 4: Simplify right side
   194,814x = 176,379,840,576
5. Step 5: Solve for x
   x = 176,379,840,576/194,814
6. Step 6: Final answer
   x = 905,375.59