Finding the Third Proportional to 124.06 and 185.69

Step by Step Solution

1. Step 1: Write the proportion equation
   124.06 : 185.69 = 185.69 : x
2. Step 2: Convert to fraction form
   124.06/185.69 = 185.69/x
3. Step 3: Cross multiply
   124.06x = 185.69 × 185.69
4. Step 4: Simplify right side
   124.06x = 34,479.85
5. Step 5: Solve for x
   x = 34,479.85/124.06
6. Step 6: Final answer
   x = 277.92