Finding the Third Proportional to 385.50 and 585.38

Step by Step Solution

1. Step 1: Write the proportion equation
   385.50 : 585.38 = 585.38 : x
2. Step 2: Convert to fraction form
   385.50/585.38 = 585.38/x
3. Step 3: Cross multiply
   385.50x = 585.38 × 585.38
4. Step 4: Simplify right side
   385.50x = 342,663.89
5. Step 5: Solve for x
   x = 342,663.89/385.50
6. Step 6: Final answer
   x = 888.88