Finding the Third Proportional to 301,027 and 412,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,027 : 412,789.50 = 412,789.50 : x
2. Step 2: Convert to fraction form
   301,027/412,789.50 = 412,789.50/x
3. Step 3: Cross multiply
   301,027x = 412,789.50 × 412,789.50
4. Step 4: Simplify right side
   301,027x = 170,395,171,310.25
5. Step 5: Solve for x
   x = 170,395,171,310.25/301,027
6. Step 6: Final answer
   x = 566,046.14