Finding the Third Proportional to 90,084 and 194,424

Step by Step Solution

1. Step 1: Write the proportion equation
   90,084 : 194,424 = 194,424 : x
2. Step 2: Convert to fraction form
   90,084/194,424 = 194,424/x
3. Step 3: Cross multiply
   90,084x = 194,424 × 194,424
4. Step 4: Simplify right side
   90,084x = 37,800,691,776
5. Step 5: Solve for x
   x = 37,800,691,776/90,084
6. Step 6: Final answer
   x = 419,616.04