Finding the Third Proportional to 578.81 and 1,196.16

Step by Step Solution

1. Step 1: Write the proportion equation
   578.81 : 1,196.16 = 1,196.16 : x
2. Step 2: Convert to fraction form
   578.81/1,196.16 = 1,196.16/x
3. Step 3: Cross multiply
   578.81x = 1,196.16 × 1,196.16
4. Step 4: Simplify right side
   578.81x = 1,430,789.77
5. Step 5: Solve for x
   x = 1,430,789.77/578.81
6. Step 6: Final answer
   x = 2,471.94