Finding the Third Proportional to 191,745 and 408,096

Step by Step Solution

1. Step 1: Write the proportion equation
   191,745 : 408,096 = 408,096 : x
2. Step 2: Convert to fraction form
   191,745/408,096 = 408,096/x
3. Step 3: Cross multiply
   191,745x = 408,096 × 408,096
4. Step 4: Simplify right side
   191,745x = 166,542,345,216
5. Step 5: Solve for x
   x = 166,542,345,216/191,745
6. Step 6: Final answer
   x = 868,561.61