Finding the Third Proportional to 52.50 and 121.31

Step by Step Solution

1. Step 1: Write the proportion equation
   52.50 : 121.31 = 121.31 : x
2. Step 2: Convert to fraction form
   52.50/121.31 = 121.31/x
3. Step 3: Cross multiply
   52.50x = 121.31 × 121.31
4. Step 4: Simplify right side
   52.50x = 14,716.72
5. Step 5: Solve for x
   x = 14,716.72/52.50
6. Step 6: Final answer
   x = 280.32