Finding the Third Proportional to 52.25 and 114.63

Step by Step Solution

1. Step 1: Write the proportion equation
   52.25 : 114.63 = 114.63 : x
2. Step 2: Convert to fraction form
   52.25/114.63 = 114.63/x
3. Step 3: Cross multiply
   52.25x = 114.63 × 114.63
4. Step 4: Simplify right side
   52.25x = 13,138.89
5. Step 5: Solve for x
   x = 13,138.89/52.25
6. Step 6: Final answer
   x = 251.46