Finding the Third Proportional to 384.38 and 587.25

Step by Step Solution

1. Step 1: Write the proportion equation
   384.38 : 587.25 = 587.25 : x
2. Step 2: Convert to fraction form
   384.38/587.25 = 587.25/x
3. Step 3: Cross multiply
   384.38x = 587.25 × 587.25
4. Step 4: Simplify right side
   384.38x = 344,862.56
5. Step 5: Solve for x
   x = 344,862.56/384.38
6. Step 6: Final answer
   x = 897.20