Finding the Third Proportional to 849.66 and 1,144.55

Step by Step Solution

1. Step 1: Write the proportion equation
   849.66 : 1,144.55 = 1,144.55 : x
2. Step 2: Convert to fraction form
   849.66/1,144.55 = 1,144.55/x
3. Step 3: Cross multiply
   849.66x = 1,144.55 × 1,144.55
4. Step 4: Simplify right side
   849.66x = 1,309,987.55
5. Step 5: Solve for x
   x = 1,309,987.55/849.66
6. Step 6: Final answer
   x = 1,541.79