Finding the Third Proportional to 826.25 and 979.25

Step by Step Solution

1. Step 1: Write the proportion equation
   826.25 : 979.25 = 979.25 : x
2. Step 2: Convert to fraction form
   826.25/979.25 = 979.25/x
3. Step 3: Cross multiply
   826.25x = 979.25 × 979.25
4. Step 4: Simplify right side
   826.25x = 958,930.56
5. Step 5: Solve for x
   x = 958,930.56/826.25
6. Step 6: Final answer
   x = 1,160.58