Finding the Third Proportional to 90,842 and 195,496

Step by Step Solution

1. Step 1: Write the proportion equation
   90,842 : 195,496 = 195,496 : x
2. Step 2: Convert to fraction form
   90,842/195,496 = 195,496/x
3. Step 3: Cross multiply
   90,842x = 195,496 × 195,496
4. Step 4: Simplify right side
   90,842x = 38,218,686,016
5. Step 5: Solve for x
   x = 38,218,686,016/90,842
6. Step 6: Final answer
   x = 420,716.03