Finding the Third Proportional to 374.47 and 778.83

Step by Step Solution

1. Step 1: Write the proportion equation
   374.47 : 778.83 = 778.83 : x
2. Step 2: Convert to fraction form
   374.47/778.83 = 778.83/x
3. Step 3: Cross multiply
   374.47x = 778.83 × 778.83
4. Step 4: Simplify right side
   374.47x = 606,582.38
5. Step 5: Solve for x
   x = 606,582.38/374.47
6. Step 6: Final answer
   x = 1,619.86