Finding the Third Proportional to 288.14 and 429.89

Step by Step Solution

1. Step 1: Write the proportion equation
   288.14 : 429.89 = 429.89 : x
2. Step 2: Convert to fraction form
   288.14/429.89 = 429.89/x
3. Step 3: Cross multiply
   288.14x = 429.89 × 429.89
4. Step 4: Simplify right side
   288.14x = 184,805.95
5. Step 5: Solve for x
   x = 184,805.95/288.14
6. Step 6: Final answer
   x = 641.37