Finding the Third Proportional to 90,856 and 195,524

Step by Step Solution

1. Step 1: Write the proportion equation
   90,856 : 195,524 = 195,524 : x
2. Step 2: Convert to fraction form
   90,856/195,524 = 195,524/x
3. Step 3: Cross multiply
   90,856x = 195,524 × 195,524
4. Step 4: Simplify right side
   90,856x = 38,229,634,576
5. Step 5: Solve for x
   x = 38,229,634,576/90,856
6. Step 6: Final answer
   x = 420,771.71