Finding the Third Proportional to 118.59 and 256.59

Step by Step Solution

1. Step 1: Write the proportion equation
   118.59 : 256.59 = 256.59 : x
2. Step 2: Convert to fraction form
   118.59/256.59 = 256.59/x
3. Step 3: Cross multiply
   118.59x = 256.59 × 256.59
4. Step 4: Simplify right side
   118.59x = 65,840.35
5. Step 5: Solve for x
   x = 65,840.35/118.59
6. Step 6: Final answer
   x = 555.18