Finding the Third Proportional to 301,083 and 412,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,083 : 412,849.50 = 412,849.50 : x
2. Step 2: Convert to fraction form
   301,083/412,849.50 = 412,849.50/x
3. Step 3: Cross multiply
   301,083x = 412,849.50 × 412,849.50
4. Step 4: Simplify right side
   301,083x = 170,444,709,650.25
5. Step 5: Solve for x
   x = 170,444,709,650.25/301,083
6. Step 6: Final answer
   x = 566,105.39