Finding the Third Proportional to 462.94 and 600.56

Step by Step Solution

1. Step 1: Write the proportion equation
   462.94 : 600.56 = 600.56 : x
2. Step 2: Convert to fraction form
   462.94/600.56 = 600.56/x
3. Step 3: Cross multiply
   462.94x = 600.56 × 600.56
4. Step 4: Simplify right side
   462.94x = 360,675.32
5. Step 5: Solve for x
   x = 360,675.32/462.94
6. Step 6: Final answer
   x = 779.10