Finding the Third Proportional to 384.38 and 610.69

Step by Step Solution

1. Step 1: Write the proportion equation
   384.38 : 610.69 = 610.69 : x
2. Step 2: Convert to fraction form
   384.38/610.69 = 610.69/x
3. Step 3: Cross multiply
   384.38x = 610.69 × 610.69
4. Step 4: Simplify right side
   384.38x = 372,939.22
5. Step 5: Solve for x
   x = 372,939.22/384.38
6. Step 6: Final answer
   x = 970.25