Finding the Third Proportional to 284.34 and 429.47

Step by Step Solution

1. Step 1: Write the proportion equation
   284.34 : 429.47 = 429.47 : x
2. Step 2: Convert to fraction form
   284.34/429.47 = 429.47/x
3. Step 3: Cross multiply
   284.34x = 429.47 × 429.47
4. Step 4: Simplify right side
   284.34x = 184,443.41
5. Step 5: Solve for x
   x = 184,443.41/284.34
6. Step 6: Final answer
   x = 648.66