Finding the Third Proportional to 109.26 and 256.54

Step by Step Solution

1. Step 1: Write the proportion equation
   109.26 : 256.54 = 256.54 : x
2. Step 2: Convert to fraction form
   109.26/256.54 = 256.54/x
3. Step 3: Cross multiply
   109.26x = 256.54 × 256.54
4. Step 4: Simplify right side
   109.26x = 65,810.27
5. Step 5: Solve for x
   x = 65,810.27/109.26
6. Step 6: Final answer
   x = 602.30