Finding the Third Proportional to 123.75 and 281.81

Step by Step Solution

1. Step 1: Write the proportion equation
   123.75 : 281.81 = 281.81 : x
2. Step 2: Convert to fraction form
   123.75/281.81 = 281.81/x
3. Step 3: Cross multiply
   123.75x = 281.81 × 281.81
4. Step 4: Simplify right side
   123.75x = 79,418.29
5. Step 5: Solve for x
   x = 79,418.29/123.75
6. Step 6: Final answer
   x = 641.76