Finding the Third Proportional to 429.69 and 804.88

Step by Step Solution

1. Step 1: Write the proportion equation
   429.69 : 804.88 = 804.88 : x
2. Step 2: Convert to fraction form
   429.69/804.88 = 804.88/x
3. Step 3: Cross multiply
   429.69x = 804.88 × 804.88
4. Step 4: Simplify right side
   429.69x = 647,823.77
5. Step 5: Solve for x
   x = 647,823.77/429.69
6. Step 6: Final answer
   x = 1,507.66