Finding the Third Proportional to 577.41 and 594.56

Step by Step Solution

1. Step 1: Write the proportion equation
   577.41 : 594.56 = 594.56 : x
2. Step 2: Convert to fraction form
   577.41/594.56 = 594.56/x
3. Step 3: Cross multiply
   577.41x = 594.56 × 594.56
4. Step 4: Simplify right side
   577.41x = 353,504.57
5. Step 5: Solve for x
   x = 353,504.57/577.41
6. Step 6: Final answer
   x = 612.23