Finding the Third Proportional to 411.50 and 904.06

Step by Step Solution

1. Step 1: Write the proportion equation
   411.50 : 904.06 = 904.06 : x
2. Step 2: Convert to fraction form
   411.50/904.06 = 904.06/x
3. Step 3: Cross multiply
   411.50x = 904.06 × 904.06
4. Step 4: Simplify right side
   411.50x = 817,329.00
5. Step 5: Solve for x
   x = 817,329.00/411.50
6. Step 6: Final answer
   x = 1,986.22