Finding the Third Proportional to 768.38 and 1,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   768.38 : 1,196.25 = 1,196.25 : x
2. Step 2: Convert to fraction form
   768.38/1,196.25 = 1,196.25/x
3. Step 3: Cross multiply
   768.38x = 1,196.25 × 1,196.25
4. Step 4: Simplify right side
   768.38x = 1,431,014.06
5. Step 5: Solve for x
   x = 1,431,014.06/768.38
6. Step 6: Final answer
   x = 1,862.39