Finding the Third Proportional to 41,684 and 91,280

Step by Step Solution

1. Step 1: Write the proportion equation
   41,684 : 91,280 = 91,280 : x
2. Step 2: Convert to fraction form
   41,684/91,280 = 91,280/x
3. Step 3: Cross multiply
   41,684x = 91,280 × 91,280
4. Step 4: Simplify right side
   41,684x = 8,332,038,400
5. Step 5: Solve for x
   x = 8,332,038,400/41,684
6. Step 6: Final answer
   x = 199,885.77