Finding the Third Proportional to 237.94 and 506.72

Step by Step Solution

1. Step 1: Write the proportion equation
   237.94 : 506.72 = 506.72 : x
2. Step 2: Convert to fraction form
   237.94/506.72 = 506.72/x
3. Step 3: Cross multiply
   237.94x = 506.72 × 506.72
4. Step 4: Simplify right side
   237.94x = 256,763.89
5. Step 5: Solve for x
   x = 256,763.89/237.94
6. Step 6: Final answer
   x = 1,079.12