Finding the Third Proportional to 89,717 and 194,298

Step by Step Solution

1. Step 1: Write the proportion equation
   89,717 : 194,298 = 194,298 : x
2. Step 2: Convert to fraction form
   89,717/194,298 = 194,298/x
3. Step 3: Cross multiply
   89,717x = 194,298 × 194,298
4. Step 4: Simplify right side
   89,717x = 37,751,712,804
5. Step 5: Solve for x
   x = 37,751,712,804/89,717
6. Step 6: Final answer
   x = 420,786.62