Finding the Third Proportional to 377.79 and 571.43

Step by Step Solution

1. Step 1: Write the proportion equation
   377.79 : 571.43 = 571.43 : x
2. Step 2: Convert to fraction form
   377.79/571.43 = 571.43/x
3. Step 3: Cross multiply
   377.79x = 571.43 × 571.43
4. Step 4: Simplify right side
   377.79x = 326,531.89
5. Step 5: Solve for x
   x = 326,531.89/377.79
6. Step 6: Final answer
   x = 864.32