Finding the Third Proportional to 263.75 and 685.38

Step by Step Solution

1. Step 1: Write the proportion equation
   263.75 : 685.38 = 685.38 : x
2. Step 2: Convert to fraction form
   263.75/685.38 = 685.38/x
3. Step 3: Cross multiply
   263.75x = 685.38 × 685.38
4. Step 4: Simplify right side
   263.75x = 469,738.89
5. Step 5: Solve for x
   x = 469,738.89/263.75
6. Step 6: Final answer
   x = 1,781.00