Finding the Third Proportional to 300,362 and 419,925

Step by Step Solution

1. Step 1: Write the proportion equation
   300,362 : 419,925 = 419,925 : x
2. Step 2: Convert to fraction form
   300,362/419,925 = 419,925/x
3. Step 3: Cross multiply
   300,362x = 419,925 × 419,925
4. Step 4: Simplify right side
   300,362x = 176,337,005,625
5. Step 5: Solve for x
   x = 176,337,005,625/300,362
6. Step 6: Final answer
   x = 587,081.61