Finding the Third Proportional to 429.38 and 674.63

Step by Step Solution

1. Step 1: Write the proportion equation
   429.38 : 674.63 = 674.63 : x
2. Step 2: Convert to fraction form
   429.38/674.63 = 674.63/x
3. Step 3: Cross multiply
   429.38x = 674.63 × 674.63
4. Step 4: Simplify right side
   429.38x = 455,118.89
5. Step 5: Solve for x
   x = 455,118.89/429.38
6. Step 6: Final answer
   x = 1,059.96