Finding the Third Proportional to 242.72 and 385.73

Step by Step Solution

1. Step 1: Write the proportion equation
   242.72 : 385.73 = 385.73 : x
2. Step 2: Convert to fraction form
   242.72/385.73 = 385.73/x
3. Step 3: Cross multiply
   242.72x = 385.73 × 385.73
4. Step 4: Simplify right side
   242.72x = 148,791.01
5. Step 5: Solve for x
   x = 148,791.01/242.72
6. Step 6: Final answer
   x = 613.02