Finding the Third Proportional to 194,994 and 285,105

Step by Step Solution

1. Step 1: Write the proportion equation
   194,994 : 285,105 = 285,105 : x
2. Step 2: Convert to fraction form
   194,994/285,105 = 285,105/x
3. Step 3: Cross multiply
   194,994x = 285,105 × 285,105
4. Step 4: Simplify right side
   194,994x = 81,284,861,025
5. Step 5: Solve for x
   x = 81,284,861,025/194,994
6. Step 6: Final answer
   x = 416,858.27