Finding the Third Proportional to 124.25 and 185.75

Step by Step Solution

1. Step 1: Write the proportion equation
   124.25 : 185.75 = 185.75 : x
2. Step 2: Convert to fraction form
   124.25/185.75 = 185.75/x
3. Step 3: Cross multiply
   124.25x = 185.75 × 185.75
4. Step 4: Simplify right side
   124.25x = 34,503.06
5. Step 5: Solve for x
   x = 34,503.06/124.25
6. Step 6: Final answer
   x = 277.69