Finding the Third Proportional to 90,626 and 195,834

Step by Step Solution

1. Step 1: Write the proportion equation
   90,626 : 195,834 = 195,834 : x
2. Step 2: Convert to fraction form
   90,626/195,834 = 195,834/x
3. Step 3: Cross multiply
   90,626x = 195,834 × 195,834
4. Step 4: Simplify right side
   90,626x = 38,350,955,556
5. Step 5: Solve for x
   x = 38,350,955,556/90,626
6. Step 6: Final answer
   x = 423,178.29