Finding the Third Proportional to 809.37 and 1,222.59

Step by Step Solution

1. Step 1: Write the proportion equation
   809.37 : 1,222.59 = 1,222.59 : x
2. Step 2: Convert to fraction form
   809.37/1,222.59 = 1,222.59/x
3. Step 3: Cross multiply
   809.37x = 1,222.59 × 1,222.59
4. Step 4: Simplify right side
   809.37x = 1,494,735.48
5. Step 5: Solve for x
   x = 1,494,735.48/809.37
6. Step 6: Final answer
   x = 1,846.80