Finding the Third Proportional to 103.78 and 268.52

Step by Step Solution

1. Step 1: Write the proportion equation
   103.78 : 268.52 = 268.52 : x
2. Step 2: Convert to fraction form
   103.78/268.52 = 268.52/x
3. Step 3: Cross multiply
   103.78x = 268.52 × 268.52
4. Step 4: Simplify right side
   103.78x = 72,104.84
5. Step 5: Solve for x
   x = 72,104.84/103.78
6. Step 6: Final answer
   x = 694.78