Finding the Third Proportional to 377.81 and 789.56

Step by Step Solution

1. Step 1: Write the proportion equation
   377.81 : 789.56 = 789.56 : x
2. Step 2: Convert to fraction form
   377.81/789.56 = 789.56/x
3. Step 3: Cross multiply
   377.81x = 789.56 × 789.56
4. Step 4: Simplify right side
   377.81x = 623,408.94
5. Step 5: Solve for x
   x = 623,408.94/377.81
6. Step 6: Final answer
   x = 1,650.05