Finding the Third Proportional to 300,379.50 and 419,949

Step by Step Solution

1. Step 1: Write the proportion equation
   300,379.50 : 419,949 = 419,949 : x
2. Step 2: Convert to fraction form
   300,379.50/419,949 = 419,949/x
3. Step 3: Cross multiply
   300,379.50x = 419,949 × 419,949
4. Step 4: Simplify right side
   300,379.50x = 176,357,162,601
5. Step 5: Solve for x
   x = 176,357,162,601/300,379.50
6. Step 6: Final answer
   x = 587,114.51