Finding the Third Proportional to 52.13 and 122.72

Step by Step Solution

1. Step 1: Write the proportion equation
   52.13 : 122.72 = 122.72 : x
2. Step 2: Convert to fraction form
   52.13/122.72 = 122.72/x
3. Step 3: Cross multiply
   52.13x = 122.72 × 122.72
4. Step 4: Simplify right side
   52.13x = 15,059.89
5. Step 5: Solve for x
   x = 15,059.89/52.13
6. Step 6: Final answer
   x = 288.92