Finding the Third Proportional to 429.89 and 670.57

Step by Step Solution

1. Step 1: Write the proportion equation
   429.89 : 670.57 = 670.57 : x
2. Step 2: Convert to fraction form
   429.89/670.57 = 670.57/x
3. Step 3: Cross multiply
   429.89x = 670.57 × 670.57
4. Step 4: Simplify right side
   429.89x = 449,664.54
5. Step 5: Solve for x
   x = 449,664.54/429.89
6. Step 6: Final answer
   x = 1,046.00