Finding the Third Proportional to 294,154.50 and 414,228

Step by Step Solution

1. Step 1: Write the proportion equation
   294,154.50 : 414,228 = 414,228 : x
2. Step 2: Convert to fraction form
   294,154.50/414,228 = 414,228/x
3. Step 3: Cross multiply
   294,154.50x = 414,228 × 414,228
4. Step 4: Simplify right side
   294,154.50x = 171,584,835,984
5. Step 5: Solve for x
   x = 171,584,835,984/294,154.50
6. Step 6: Final answer
   x = 583,315.35