Finding the Third Proportional to 255.93 and 636.10

Step by Step Solution

1. Step 1: Write the proportion equation
   255.93 : 636.10 = 636.10 : x
2. Step 2: Convert to fraction form
   255.93/636.10 = 636.10/x
3. Step 3: Cross multiply
   255.93x = 636.10 × 636.10
4. Step 4: Simplify right side
   255.93x = 404,617.12
5. Step 5: Solve for x
   x = 404,617.12/255.93
6. Step 6: Final answer
   x = 1,580.95