Finding the Third Proportional to 385.94 and 565.38

Step by Step Solution

1. Step 1: Write the proportion equation
   385.94 : 565.38 = 565.38 : x
2. Step 2: Convert to fraction form
   385.94/565.38 = 565.38/x
3. Step 3: Cross multiply
   385.94x = 565.38 × 565.38
4. Step 4: Simplify right side
   385.94x = 319,648.89
5. Step 5: Solve for x
   x = 319,648.89/385.94
6. Step 6: Final answer
   x = 828.24