Finding the Third Proportional to 422.81 and 600.56

Step by Step Solution

1. Step 1: Write the proportion equation
   422.81 : 600.56 = 600.56 : x
2. Step 2: Convert to fraction form
   422.81/600.56 = 600.56/x
3. Step 3: Cross multiply
   422.81x = 600.56 × 600.56
4. Step 4: Simplify right side
   422.81x = 360,675.32
5. Step 5: Solve for x
   x = 360,675.32/422.81
6. Step 6: Final answer
   x = 853.04