Finding the Third Proportional to 188.40 and 288.02

Step by Step Solution

1. Step 1: Write the proportion equation
   188.40 : 288.02 = 288.02 : x
2. Step 2: Convert to fraction form
   188.40/288.02 = 288.02/x
3. Step 3: Cross multiply
   188.40x = 288.02 × 288.02
4. Step 4: Simplify right side
   188.40x = 82,957.50
5. Step 5: Solve for x
   x = 82,957.50/188.40
6. Step 6: Final answer
   x = 440.32