Finding the Third Proportional to 118.34 and 258.82

Step by Step Solution

1. Step 1: Write the proportion equation
   118.34 : 258.82 = 258.82 : x
2. Step 2: Convert to fraction form
   118.34/258.82 = 258.82/x
3. Step 3: Cross multiply
   118.34x = 258.82 × 258.82
4. Step 4: Simplify right side
   118.34x = 66,987.95
5. Step 5: Solve for x
   x = 66,987.95/118.34
6. Step 6: Final answer
   x = 566.08