Finding the Third Proportional to 273.59 and 632.71

Step by Step Solution

1. Step 1: Write the proportion equation
   273.59 : 632.71 = 632.71 : x
2. Step 2: Convert to fraction form
   273.59/632.71 = 632.71/x
3. Step 3: Cross multiply
   273.59x = 632.71 × 632.71
4. Step 4: Simplify right side
   273.59x = 400,318.19
5. Step 5: Solve for x
   x = 400,318.19/273.59
6. Step 6: Final answer
   x = 1,463.23