Finding the Third Proportional to 258.50 and 394.52

Step by Step Solution

1. Step 1: Write the proportion equation
   258.50 : 394.52 = 394.52 : x
2. Step 2: Convert to fraction form
   258.50/394.52 = 394.52/x
3. Step 3: Cross multiply
   258.50x = 394.52 × 394.52
4. Step 4: Simplify right side
   258.50x = 155,645.28
5. Step 5: Solve for x
   x = 155,645.28/258.50
6. Step 6: Final answer
   x = 602.10