Finding the Third Proportional to 245.75 and 385.38

Step by Step Solution

1. Step 1: Write the proportion equation
   245.75 : 385.38 = 385.38 : x
2. Step 2: Convert to fraction form
   245.75/385.38 = 385.38/x
3. Step 3: Cross multiply
   245.75x = 385.38 × 385.38
4. Step 4: Simplify right side
   245.75x = 148,513.89
5. Step 5: Solve for x
   x = 148,513.89/245.75
6. Step 6: Final answer
   x = 604.33