Finding the Third Proportional to 41,192 and 90,405

Step by Step Solution

1. Step 1: Write the proportion equation
   41,192 : 90,405 = 90,405 : x
2. Step 2: Convert to fraction form
   41,192/90,405 = 90,405/x
3. Step 3: Cross multiply
   41,192x = 90,405 × 90,405
4. Step 4: Simplify right side
   41,192x = 8,173,064,025
5. Step 5: Solve for x
   x = 8,173,064,025/41,192
6. Step 6: Final answer
   x = 198,413.87