Finding the Third Proportional to 121.03 and 185.72

Step by Step Solution

1. Step 1: Write the proportion equation
   121.03 : 185.72 = 185.72 : x
2. Step 2: Convert to fraction form
   121.03/185.72 = 185.72/x
3. Step 3: Cross multiply
   121.03x = 185.72 × 185.72
4. Step 4: Simplify right side
   121.03x = 34,491.45
5. Step 5: Solve for x
   x = 34,491.45/121.03
6. Step 6: Final answer
   x = 284.98