Finding the Third Proportional to 51.46 and 114.30

Step by Step Solution

1. Step 1: Write the proportion equation
   51.46 : 114.30 = 114.30 : x
2. Step 2: Convert to fraction form
   51.46/114.30 = 114.30/x
3. Step 3: Cross multiply
   51.46x = 114.30 × 114.30
4. Step 4: Simplify right side
   51.46x = 13,064.89
5. Step 5: Solve for x
   x = 13,064.89/51.46
6. Step 6: Final answer
   x = 253.91