Finding the Third Proportional to 90,774 and 199,466

Step by Step Solution

1. Step 1: Write the proportion equation
   90,774 : 199,466 = 199,466 : x
2. Step 2: Convert to fraction form
   90,774/199,466 = 199,466/x
3. Step 3: Cross multiply
   90,774x = 199,466 × 199,466
4. Step 4: Simplify right side
   90,774x = 39,786,685,156
5. Step 5: Solve for x
   x = 39,786,685,156/90,774
6. Step 6: Final answer
   x = 438,304.86