Finding the Third Proportional to 124.78 and 254.63

Step by Step Solution

1. Step 1: Write the proportion equation
   124.78 : 254.63 = 254.63 : x
2. Step 2: Convert to fraction form
   124.78/254.63 = 254.63/x
3. Step 3: Cross multiply
   124.78x = 254.63 × 254.63
4. Step 4: Simplify right side
   124.78x = 64,833.89
5. Step 5: Solve for x
   x = 64,833.89/124.78
6. Step 6: Final answer
   x = 519.58