Finding the Third Proportional to 301,081.50 and 412,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,081.50 : 412,858.50 = 412,858.50 : x
2. Step 2: Convert to fraction form
   301,081.50/412,858.50 = 412,858.50/x
3. Step 3: Cross multiply
   301,081.50x = 412,858.50 × 412,858.50
4. Step 4: Simplify right side
   301,081.50x = 170,452,141,022.25
5. Step 5: Solve for x
   x = 170,452,141,022.25/301,081.50
6. Step 6: Final answer
   x = 566,132.89