Finding the Third Proportional to 711.56 and 917.72

Step by Step Solution

1. Step 1: Write the proportion equation
   711.56 : 917.72 = 917.72 : x
2. Step 2: Convert to fraction form
   711.56/917.72 = 917.72/x
3. Step 3: Cross multiply
   711.56x = 917.72 × 917.72
4. Step 4: Simplify right side
   711.56x = 842,207.70
5. Step 5: Solve for x
   x = 842,207.70/711.56
6. Step 6: Final answer
   x = 1,183.60