Finding the Third Proportional to 90,684 and 199,320

Step by Step Solution

1. Step 1: Write the proportion equation
   90,684 : 199,320 = 199,320 : x
2. Step 2: Convert to fraction form
   90,684/199,320 = 199,320/x
3. Step 3: Cross multiply
   90,684x = 199,320 × 199,320
4. Step 4: Simplify right side
   90,684x = 39,728,462,400
5. Step 5: Solve for x
   x = 39,728,462,400/90,684
6. Step 6: Final answer
   x = 438,097.82