Finding the Third Proportional to 294.94 and 437.72

Step by Step Solution

1. Step 1: Write the proportion equation
   294.94 : 437.72 = 437.72 : x
2. Step 2: Convert to fraction form
   294.94/437.72 = 437.72/x
3. Step 3: Cross multiply
   294.94x = 437.72 × 437.72
4. Step 4: Simplify right side
   294.94x = 191,597.70
5. Step 5: Solve for x
   x = 191,597.70/294.94
6. Step 6: Final answer
   x = 649.62