Finding the Third Proportional to 52.76 and 123.21

Step by Step Solution

1. Step 1: Write the proportion equation
   52.76 : 123.21 = 123.21 : x
2. Step 2: Convert to fraction form
   52.76/123.21 = 123.21/x
3. Step 3: Cross multiply
   52.76x = 123.21 × 123.21
4. Step 4: Simplify right side
   52.76x = 15,180.94
5. Step 5: Solve for x
   x = 15,180.94/52.76
6. Step 6: Final answer
   x = 287.75