Finding the Third Proportional to 774.50 and 1,162.25

Step by Step Solution

1. Step 1: Write the proportion equation
   774.50 : 1,162.25 = 1,162.25 : x
2. Step 2: Convert to fraction form
   774.50/1,162.25 = 1,162.25/x
3. Step 3: Cross multiply
   774.50x = 1,162.25 × 1,162.25
4. Step 4: Simplify right side
   774.50x = 1,350,825.06
5. Step 5: Solve for x
   x = 1,350,825.06/774.50
6. Step 6: Final answer
   x = 1,744.13