Finding the Third Proportional to 194,785 and 419,162

Step by Step Solution

1. Step 1: Write the proportion equation
   194,785 : 419,162 = 419,162 : x
2. Step 2: Convert to fraction form
   194,785/419,162 = 419,162/x
3. Step 3: Cross multiply
   194,785x = 419,162 × 419,162
4. Step 4: Simplify right side
   194,785x = 175,696,782,244
5. Step 5: Solve for x
   x = 175,696,782,244/194,785
6. Step 6: Final answer
   x = 902,003.66