Finding the Third Proportional to 194,783 and 419,158

Step by Step Solution

1. Step 1: Write the proportion equation
   194,783 : 419,158 = 419,158 : x
2. Step 2: Convert to fraction form
   194,783/419,158 = 419,158/x
3. Step 3: Cross multiply
   194,783x = 419,158 × 419,158
4. Step 4: Simplify right side
   194,783x = 175,693,428,964
5. Step 5: Solve for x
   x = 175,693,428,964/194,783
6. Step 6: Final answer
   x = 901,995.70