Finding the Third Proportional to 294.38 and 468.56

Step by Step Solution

1. Step 1: Write the proportion equation
   294.38 : 468.56 = 468.56 : x
2. Step 2: Convert to fraction form
   294.38/468.56 = 468.56/x
3. Step 3: Cross multiply
   294.38x = 468.56 × 468.56
4. Step 4: Simplify right side
   294.38x = 219,550.82
5. Step 5: Solve for x
   x = 219,550.82/294.38
6. Step 6: Final answer
   x = 745.82