Finding the Third Proportional to 300,901 and 442,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,901 : 442,137.50 = 442,137.50 : x
2. Step 2: Convert to fraction form
   300,901/442,137.50 = 442,137.50/x
3. Step 3: Cross multiply
   300,901x = 442,137.50 × 442,137.50
4. Step 4: Simplify right side
   300,901x = 195,485,568,906.25
5. Step 5: Solve for x
   x = 195,485,568,906.25/300,901
6. Step 6: Final answer
   x = 649,667.40