Finding the Third Proportional to 553.50 and 849.56

Step by Step Solution

1. Step 1: Write the proportion equation
   553.50 : 849.56 = 849.56 : x
2. Step 2: Convert to fraction form
   553.50/849.56 = 849.56/x
3. Step 3: Cross multiply
   553.50x = 849.56 × 849.56
4. Step 4: Simplify right side
   553.50x = 721,756.44
5. Step 5: Solve for x
   x = 721,756.44/553.50
6. Step 6: Final answer
   x = 1,303.99