Finding the Third Proportional to 743.25 and 1,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   743.25 : 1,196.25 = 1,196.25 : x
2. Step 2: Convert to fraction form
   743.25/1,196.25 = 1,196.25/x
3. Step 3: Cross multiply
   743.25x = 1,196.25 × 1,196.25
4. Step 4: Simplify right side
   743.25x = 1,431,014.06
5. Step 5: Solve for x
   x = 1,431,014.06/743.25
6. Step 6: Final answer
   x = 1,925.35