Finding the Third Proportional to 743.77 and 978.12

Step by Step Solution

1. Step 1: Write the proportion equation
   743.77 : 978.12 = 978.12 : x
2. Step 2: Convert to fraction form
   743.77/978.12 = 978.12/x
3. Step 3: Cross multiply
   743.77x = 978.12 × 978.12
4. Step 4: Simplify right side
   743.77x = 956,713.23
5. Step 5: Solve for x
   x = 956,713.23/743.77
6. Step 6: Final answer
   x = 1,286.31