Finding the Third Proportional to 105.47 and 254.39

Step by Step Solution

1. Step 1: Write the proportion equation
   105.47 : 254.39 = 254.39 : x
2. Step 2: Convert to fraction form
   105.47/254.39 = 254.39/x
3. Step 3: Cross multiply
   105.47x = 254.39 × 254.39
4. Step 4: Simplify right side
   105.47x = 64,714.59
5. Step 5: Solve for x
   x = 64,714.59/105.47
6. Step 6: Final answer
   x = 613.59