Finding the Third Proportional to 774.56 and 1,199.81

Step by Step Solution

1. Step 1: Write the proportion equation
   774.56 : 1,199.81 = 1,199.81 : x
2. Step 2: Convert to fraction form
   774.56/1,199.81 = 1,199.81/x
3. Step 3: Cross multiply
   774.56x = 1,199.81 × 1,199.81
4. Step 4: Simplify right side
   774.56x = 1,439,550.04
5. Step 5: Solve for x
   x = 1,439,550.04/774.56
6. Step 6: Final answer
   x = 1,858.53