Finding the Third Proportional to 743.75 and 978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   743.75 : 978.25 = 978.25 : x
2. Step 2: Convert to fraction form
   743.75/978.25 = 978.25/x
3. Step 3: Cross multiply
   743.75x = 978.25 × 978.25
4. Step 4: Simplify right side
   743.75x = 956,973.06
5. Step 5: Solve for x
   x = 956,973.06/743.75
6. Step 6: Final answer
   x = 1,286.69