Finding the Third Proportional to 300,382.50 and 419,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,382.50 : 419,953.50 = 419,953.50 : x
2. Step 2: Convert to fraction form
   300,382.50/419,953.50 = 419,953.50/x
3. Step 3: Cross multiply
   300,382.50x = 419,953.50 × 419,953.50
4. Step 4: Simplify right side
   300,382.50x = 176,360,942,162.25
5. Step 5: Solve for x
   x = 176,360,942,162.25/300,382.50
6. Step 6: Final answer
   x = 587,121.23