Finding the Third Proportional to 91,801 and 194,626

Step by Step Solution

1. Step 1: Write the proportion equation
   91,801 : 194,626 = 194,626 : x
2. Step 2: Convert to fraction form
   91,801/194,626 = 194,626/x
3. Step 3: Cross multiply
   91,801x = 194,626 × 194,626
4. Step 4: Simplify right side
   91,801x = 37,879,279,876
5. Step 5: Solve for x
   x = 37,879,279,876/91,801
6. Step 6: Final answer
   x = 412,623.83