Finding the Third Proportional to 123.25 and 256.94

Step by Step Solution

1. Step 1: Write the proportion equation
   123.25 : 256.94 = 256.94 : x
2. Step 2: Convert to fraction form
   123.25/256.94 = 256.94/x
3. Step 3: Cross multiply
   123.25x = 256.94 × 256.94
4. Step 4: Simplify right side
   123.25x = 66,016.88
5. Step 5: Solve for x
   x = 66,016.88/123.25
6. Step 6: Final answer
   x = 535.63