Finding the Third Proportional to 288.94 and 433.78

Step by Step Solution

1. Step 1: Write the proportion equation
   288.94 : 433.78 = 433.78 : x
2. Step 2: Convert to fraction form
   288.94/433.78 = 433.78/x
3. Step 3: Cross multiply
   288.94x = 433.78 × 433.78
4. Step 4: Simplify right side
   288.94x = 188,166.17
5. Step 5: Solve for x
   x = 188,166.17/288.94
6. Step 6: Final answer
   x = 651.23