Finding the Third Proportional to 1,222.98 and 1,857.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.98 : 1,857.81 = 1,857.81 : x
2. Step 2: Convert to fraction form
   1,222.98/1,857.81 = 1,857.81/x
3. Step 3: Cross multiply
   1,222.98x = 1,857.81 × 1,857.81
4. Step 4: Simplify right side
   1,222.98x = 3,451,474.54
5. Step 5: Solve for x
   x = 3,451,474.54/1,222.98
6. Step 6: Final answer
   x = 2,822.18