Finding the Third Proportional to 300,372 and 419,940

Step by Step Solution

1. Step 1: Write the proportion equation
   300,372 : 419,940 = 419,940 : x
2. Step 2: Convert to fraction form
   300,372/419,940 = 419,940/x
3. Step 3: Cross multiply
   300,372x = 419,940 × 419,940
4. Step 4: Simplify right side
   300,372x = 176,349,603,600
5. Step 5: Solve for x
   x = 176,349,603,600/300,372
6. Step 6: Final answer
   x = 587,104.00