Finding the Third Proportional to 822.66 and 1,142.72

Step by Step Solution

1. Step 1: Write the proportion equation
   822.66 : 1,142.72 = 1,142.72 : x
2. Step 2: Convert to fraction form
   822.66/1,142.72 = 1,142.72/x
3. Step 3: Cross multiply
   822.66x = 1,142.72 × 1,142.72
4. Step 4: Simplify right side
   822.66x = 1,305,806.14
5. Step 5: Solve for x
   x = 1,305,806.14/822.66
6. Step 6: Final answer
   x = 1,587.30