Finding the Third Proportional to 51.94 and 123.28

Step by Step Solution

1. Step 1: Write the proportion equation
   51.94 : 123.28 = 123.28 : x
2. Step 2: Convert to fraction form
   51.94/123.28 = 123.28/x
3. Step 3: Cross multiply
   51.94x = 123.28 × 123.28
4. Step 4: Simplify right side
   51.94x = 15,198.27
5. Step 5: Solve for x
   x = 15,198.27/51.94
6. Step 6: Final answer
   x = 292.63