Finding the Third Proportional to 864.75 and 1,016.25

Step by Step Solution

1. Step 1: Write the proportion equation
   864.75 : 1,016.25 = 1,016.25 : x
2. Step 2: Convert to fraction form
   864.75/1,016.25 = 1,016.25/x
3. Step 3: Cross multiply
   864.75x = 1,016.25 × 1,016.25
4. Step 4: Simplify right side
   864.75x = 1,032,764.06
5. Step 5: Solve for x
   x = 1,032,764.06/864.75
6. Step 6: Final answer
   x = 1,194.29