Finding the Third Proportional to 410.86 and 908.22

Step by Step Solution

1. Step 1: Write the proportion equation
   410.86 : 908.22 = 908.22 : x
2. Step 2: Convert to fraction form
   410.86/908.22 = 908.22/x
3. Step 3: Cross multiply
   410.86x = 908.22 × 908.22
4. Step 4: Simplify right side
   410.86x = 824,871.50
5. Step 5: Solve for x
   x = 824,871.50/410.86
6. Step 6: Final answer
   x = 2,007.65