Finding the Third Proportional to 277,635 and 419,870

Step by Step Solution

1. Step 1: Write the proportion equation
   277,635 : 419,870 = 419,870 : x
2. Step 2: Convert to fraction form
   277,635/419,870 = 419,870/x
3. Step 3: Cross multiply
   277,635x = 419,870 × 419,870
4. Step 4: Simplify right side
   277,635x = 176,290,816,900
5. Step 5: Solve for x
   x = 176,290,816,900/277,635
6. Step 6: Final answer
   x = 634,973.32