Finding the Third Proportional to 90,496 and 195,016

Step by Step Solution

1. Step 1: Write the proportion equation
   90,496 : 195,016 = 195,016 : x
2. Step 2: Convert to fraction form
   90,496/195,016 = 195,016/x
3. Step 3: Cross multiply
   90,496x = 195,016 × 195,016
4. Step 4: Simplify right side
   90,496x = 38,031,240,256
5. Step 5: Solve for x
   x = 38,031,240,256/90,496
6. Step 6: Final answer
   x = 420,253.27