Finding the Third Proportional to 613.69 and 923.06

Step by Step Solution

1. Step 1: Write the proportion equation
   613.69 : 923.06 = 923.06 : x
2. Step 2: Convert to fraction form
   613.69/923.06 = 923.06/x
3. Step 3: Cross multiply
   613.69x = 923.06 × 923.06
4. Step 4: Simplify right side
   613.69x = 852,044.38
5. Step 5: Solve for x
   x = 852,044.38/613.69
6. Step 6: Final answer
   x = 1,388.40