Finding the Third Proportional to 314.16 and 632.53

Step by Step Solution

1. Step 1: Write the proportion equation
   314.16 : 632.53 = 632.53 : x
2. Step 2: Convert to fraction form
   314.16/632.53 = 632.53/x
3. Step 3: Cross multiply
   314.16x = 632.53 × 632.53
4. Step 4: Simplify right side
   314.16x = 400,095.78
5. Step 5: Solve for x
   x = 400,095.78/314.16
6. Step 6: Final answer
   x = 1,273.56