Finding the Third Proportional to 384.50 and 587.38

Step by Step Solution

1. Step 1: Write the proportion equation
   384.50 : 587.38 = 587.38 : x
2. Step 2: Convert to fraction form
   384.50/587.38 = 587.38/x
3. Step 3: Cross multiply
   384.50x = 587.38 × 587.38
4. Step 4: Simplify right side
   384.50x = 345,009.39
5. Step 5: Solve for x
   x = 345,009.39/384.50
6. Step 6: Final answer
   x = 897.29