Finding the Third Proportional to 121.88 and 188.81

Step by Step Solution

1. Step 1: Write the proportion equation
   121.88 : 188.81 = 188.81 : x
2. Step 2: Convert to fraction form
   121.88/188.81 = 188.81/x
3. Step 3: Cross multiply
   121.88x = 188.81 × 188.81
4. Step 4: Simplify right side
   121.88x = 35,650.16
5. Step 5: Solve for x
   x = 35,650.16/121.88
6. Step 6: Final answer
   x = 292.51