Finding the Third Proportional to 90,195 and 194,834

Step by Step Solution

1. Step 1: Write the proportion equation
   90,195 : 194,834 = 194,834 : x
2. Step 2: Convert to fraction form
   90,195/194,834 = 194,834/x
3. Step 3: Cross multiply
   90,195x = 194,834 × 194,834
4. Step 4: Simplify right side
   90,195x = 37,960,287,556
5. Step 5: Solve for x
   x = 37,960,287,556/90,195
6. Step 6: Final answer
   x = 420,869.09