Finding the Third Proportional to 774.56 and 1,196.02

Step by Step Solution

1. Step 1: Write the proportion equation
   774.56 : 1,196.02 = 1,196.02 : x
2. Step 2: Convert to fraction form
   774.56/1,196.02 = 1,196.02/x
3. Step 3: Cross multiply
   774.56x = 1,196.02 × 1,196.02
4. Step 4: Simplify right side
   774.56x = 1,430,453.38
5. Step 5: Solve for x
   x = 1,430,453.38/774.56
6. Step 6: Final answer
   x = 1,846.79