Finding the Third Proportional to 611.72 and 923.27

Step by Step Solution

1. Step 1: Write the proportion equation
   611.72 : 923.27 = 923.27 : x
2. Step 2: Convert to fraction form
   611.72/923.27 = 923.27/x
3. Step 3: Cross multiply
   611.72x = 923.27 × 923.27
4. Step 4: Simplify right side
   611.72x = 852,433.84
5. Step 5: Solve for x
   x = 852,433.84/611.72
6. Step 6: Final answer
   x = 1,393.51