Finding the Third Proportional to 125.69 and 254.56

Step by Step Solution

1. Step 1: Write the proportion equation
   125.69 : 254.56 = 254.56 : x
2. Step 2: Convert to fraction form
   125.69/254.56 = 254.56/x
3. Step 3: Cross multiply
   125.69x = 254.56 × 254.56
4. Step 4: Simplify right side
   125.69x = 64,802.07
5. Step 5: Solve for x
   x = 64,802.07/125.69
6. Step 6: Final answer
   x = 515.58