Finding the Third Proportional to 410.25 and 636.38

Step by Step Solution

1. Step 1: Write the proportion equation
   410.25 : 636.38 = 636.38 : x
2. Step 2: Convert to fraction form
   410.25/636.38 = 636.38/x
3. Step 3: Cross multiply
   410.25x = 636.38 × 636.38
4. Step 4: Simplify right side
   410.25x = 404,973.14
5. Step 5: Solve for x
   x = 404,973.14/410.25
6. Step 6: Final answer
   x = 987.14