Finding the Third Proportional to 90,566 and 199,564

Step by Step Solution

1. Step 1: Write the proportion equation
   90,566 : 199,564 = 199,564 : x
2. Step 2: Convert to fraction form
   90,566/199,564 = 199,564/x
3. Step 3: Cross multiply
   90,566x = 199,564 × 199,564
4. Step 4: Simplify right side
   90,566x = 39,825,790,096
5. Step 5: Solve for x
   x = 39,825,790,096/90,566
6. Step 6: Final answer
   x = 439,743.28