Finding the Third Proportional to 188.02 and 280.03

Step by Step Solution

1. Step 1: Write the proportion equation
   188.02 : 280.03 = 280.03 : x
2. Step 2: Convert to fraction form
   188.02/280.03 = 280.03/x
3. Step 3: Cross multiply
   188.02x = 280.03 × 280.03
4. Step 4: Simplify right side
   188.02x = 78,417.50
5. Step 5: Solve for x
   x = 78,417.50/188.02
6. Step 6: Final answer
   x = 417.08