Finding the Third Proportional to 52.78 and 113.72

Step by Step Solution

1. Step 1: Write the proportion equation
   52.78 : 113.72 = 113.72 : x
2. Step 2: Convert to fraction form
   52.78/113.72 = 113.72/x
3. Step 3: Cross multiply
   52.78x = 113.72 × 113.72
4. Step 4: Simplify right side
   52.78x = 12,931.95
5. Step 5: Solve for x
   x = 12,931.95/52.78
6. Step 6: Final answer
   x = 245.01