Finding the Third Proportional to 1,204.56 and 1,785.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.56 : 1,785.96 = 1,785.96 : x
2. Step 2: Convert to fraction form
   1,204.56/1,785.96 = 1,785.96/x
3. Step 3: Cross multiply
   1,204.56x = 1,785.96 × 1,785.96
4. Step 4: Simplify right side
   1,204.56x = 3,189,635.54
5. Step 5: Solve for x
   x = 3,189,635.54/1,204.56
6. Step 6: Final answer
   x = 2,647.97