Finding the Third Proportional to 242.17 and 527.57

Step by Step Solution

1. Step 1: Write the proportion equation
   242.17 : 527.57 = 527.57 : x
2. Step 2: Convert to fraction form
   242.17/527.57 = 527.57/x
3. Step 3: Cross multiply
   242.17x = 527.57 × 527.57
4. Step 4: Simplify right side
   242.17x = 278,327.86
5. Step 5: Solve for x
   x = 278,327.86/242.17
6. Step 6: Final answer
   x = 1,149.31