Finding the Third Proportional to 294,105.94 and 414,159.33

Step by Step Solution

1. Step 1: Write the proportion equation
   294,105.94 : 414,159.33 = 414,159.33 : x
2. Step 2: Convert to fraction form
   294,105.94/414,159.33 = 414,159.33/x
3. Step 3: Cross multiply
   294,105.94x = 414,159.33 × 414,159.33
4. Step 4: Simplify right side
   294,105.94x = 171,527,949,072.95
5. Step 5: Solve for x
   x = 171,527,949,072.95/294,105.94
6. Step 6: Final answer
   x = 583,218.25