Finding the Third Proportional to 333.18 and 512.58

Step by Step Solution

1. Step 1: Write the proportion equation
   333.18 : 512.58 = 512.58 : x
2. Step 2: Convert to fraction form
   333.18/512.58 = 512.58/x
3. Step 3: Cross multiply
   333.18x = 512.58 × 512.58
4. Step 4: Simplify right side
   333.18x = 262,736.33
5. Step 5: Solve for x
   x = 262,736.33/333.18
6. Step 6: Final answer
   x = 788.58