Finding the Third Proportional to 553.03 and 806.72

Step by Step Solution

1. Step 1: Write the proportion equation
   553.03 : 806.72 = 806.72 : x
2. Step 2: Convert to fraction form
   553.03/806.72 = 806.72/x
3. Step 3: Cross multiply
   553.03x = 806.72 × 806.72
4. Step 4: Simplify right side
   553.03x = 650,795.14
5. Step 5: Solve for x
   x = 650,795.14/553.03
6. Step 6: Final answer
   x = 1,176.78