Finding the Third Proportional to 377.81 and 712.69

Step by Step Solution

1. Step 1: Write the proportion equation
   377.81 : 712.69 = 712.69 : x
2. Step 2: Convert to fraction form
   377.81/712.69 = 712.69/x
3. Step 3: Cross multiply
   377.81x = 712.69 × 712.69
4. Step 4: Simplify right side
   377.81x = 507,923.47
5. Step 5: Solve for x
   x = 507,923.47/377.81
6. Step 6: Final answer
   x = 1,344.38