Finding the Third Proportional to 90,775 and 199,468

Step by Step Solution

1. Step 1: Write the proportion equation
   90,775 : 199,468 = 199,468 : x
2. Step 2: Convert to fraction form
   90,775/199,468 = 199,468/x
3. Step 3: Cross multiply
   90,775x = 199,468 × 199,468
4. Step 4: Simplify right side
   90,775x = 39,787,483,024
5. Step 5: Solve for x
   x = 39,787,483,024/90,775
6. Step 6: Final answer
   x = 438,308.82