Finding the Third Proportional to 1,119.75 and 1,241.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,119.75 : 1,241.25 = 1,241.25 : x
2. Step 2: Convert to fraction form
   1,119.75/1,241.25 = 1,241.25/x
3. Step 3: Cross multiply
   1,119.75x = 1,241.25 × 1,241.25
4. Step 4: Simplify right side
   1,119.75x = 1,540,701.56
5. Step 5: Solve for x
   x = 1,540,701.56/1,119.75
6. Step 6: Final answer
   x = 1,375.93