Finding the Third Proportional to 475.69 and 802.78

Step by Step Solution

1. Step 1: Write the proportion equation
   475.69 : 802.78 = 802.78 : x
2. Step 2: Convert to fraction form
   475.69/802.78 = 802.78/x
3. Step 3: Cross multiply
   475.69x = 802.78 × 802.78
4. Step 4: Simplify right side
   475.69x = 644,457.74
5. Step 5: Solve for x
   x = 644,457.74/475.69
6. Step 6: Final answer
   x = 1,354.79