Finding the Third Proportional to 120.02 and 280.02

Step by Step Solution

1. Step 1: Write the proportion equation
   120.02 : 280.02 = 280.02 : x
2. Step 2: Convert to fraction form
   120.02/280.02 = 280.02/x
3. Step 3: Cross multiply
   120.02x = 280.02 × 280.02
4. Step 4: Simplify right side
   120.02x = 78,410.94
5. Step 5: Solve for x
   x = 78,410.94/120.02
6. Step 6: Final answer
   x = 653.30