Finding the Third Proportional to 300,377 and 419,947

Step by Step Solution

1. Step 1: Write the proportion equation
   300,377 : 419,947 = 419,947 : x
2. Step 2: Convert to fraction form
   300,377/419,947 = 419,947/x
3. Step 3: Cross multiply
   300,377x = 419,947 × 419,947
4. Step 4: Simplify right side
   300,377x = 176,355,482,809
5. Step 5: Solve for x
   x = 176,355,482,809/300,377
6. Step 6: Final answer
   x = 587,113.80