Finding the Third Proportional to 194,910 and 419,898

Step by Step Solution

1. Step 1: Write the proportion equation
   194,910 : 419,898 = 419,898 : x
2. Step 2: Convert to fraction form
   194,910/419,898 = 419,898/x
3. Step 3: Cross multiply
   194,910x = 419,898 × 419,898
4. Step 4: Simplify right side
   194,910x = 176,314,330,404
5. Step 5: Solve for x
   x = 176,314,330,404/194,910
6. Step 6: Final answer
   x = 904,593.56