Finding the Third Proportional to 774.77 and 1,196.33

Step by Step Solution

1. Step 1: Write the proportion equation
   774.77 : 1,196.33 = 1,196.33 : x
2. Step 2: Convert to fraction form
   774.77/1,196.33 = 1,196.33/x
3. Step 3: Cross multiply
   774.77x = 1,196.33 × 1,196.33
4. Step 4: Simplify right side
   774.77x = 1,431,210.33
5. Step 5: Solve for x
   x = 1,431,210.33/774.77
6. Step 6: Final answer
   x = 1,847.26