Finding the Third Proportional to 294,139 and 414,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   294,139 : 414,208.50 = 414,208.50 : x
2. Step 2: Convert to fraction form
   294,139/414,208.50 = 414,208.50/x
3. Step 3: Cross multiply
   294,139x = 414,208.50 × 414,208.50
4. Step 4: Simplify right side
   294,139x = 171,568,681,472.25
5. Step 5: Solve for x
   x = 171,568,681,472.25/294,139
6. Step 6: Final answer
   x = 583,291.17