Finding the Third Proportional to 89,936 and 197,496

Step by Step Solution

1. Step 1: Write the proportion equation
   89,936 : 197,496 = 197,496 : x
2. Step 2: Convert to fraction form
   89,936/197,496 = 197,496/x
3. Step 3: Cross multiply
   89,936x = 197,496 × 197,496
4. Step 4: Simplify right side
   89,936x = 39,004,670,016
5. Step 5: Solve for x
   x = 39,004,670,016/89,936
6. Step 6: Final answer
   x = 433,693.63