Finding the Third Proportional to 656.72 and 876.28

Step by Step Solution

1. Step 1: Write the proportion equation
   656.72 : 876.28 = 876.28 : x
2. Step 2: Convert to fraction form
   656.72/876.28 = 876.28/x
3. Step 3: Cross multiply
   656.72x = 876.28 × 876.28
4. Step 4: Simplify right side
   656.72x = 767,868.83
5. Step 5: Solve for x
   x = 767,868.83/656.72
6. Step 6: Final answer
   x = 1,169.25