Finding the Third Proportional to 90,193 and 194,830

Step by Step Solution

1. Step 1: Write the proportion equation
   90,193 : 194,830 = 194,830 : x
2. Step 2: Convert to fraction form
   90,193/194,830 = 194,830/x
3. Step 3: Cross multiply
   90,193x = 194,830 × 194,830
4. Step 4: Simplify right side
   90,193x = 37,958,728,900
5. Step 5: Solve for x
   x = 37,958,728,900/90,193
6. Step 6: Final answer
   x = 420,861.14