Finding the Third Proportional to 282.02 and 429.47

Step by Step Solution

1. Step 1: Write the proportion equation
   282.02 : 429.47 = 429.47 : x
2. Step 2: Convert to fraction form
   282.02/429.47 = 429.47/x
3. Step 3: Cross multiply
   282.02x = 429.47 × 429.47
4. Step 4: Simplify right side
   282.02x = 184,443.41
5. Step 5: Solve for x
   x = 184,443.41/282.02
6. Step 6: Final answer
   x = 654.00