Finding the Third Proportional to 118.50 and 258.94

Step by Step Solution

1. Step 1: Write the proportion equation
   118.50 : 258.94 = 258.94 : x
2. Step 2: Convert to fraction form
   118.50/258.94 = 258.94/x
3. Step 3: Cross multiply
   118.50x = 258.94 × 258.94
4. Step 4: Simplify right side
   118.50x = 67,048.63
5. Step 5: Solve for x
   x = 67,048.63/118.50
6. Step 6: Final answer
   x = 565.81