Finding the Third Proportional to 300,420 and 467,874

Step by Step Solution

1. Step 1: Write the proportion equation
   300,420 : 467,874 = 467,874 : x
2. Step 2: Convert to fraction form
   300,420/467,874 = 467,874/x
3. Step 3: Cross multiply
   300,420x = 467,874 × 467,874
4. Step 4: Simplify right side
   300,420x = 218,906,079,876
5. Step 5: Solve for x
   x = 218,906,079,876/300,420
6. Step 6: Final answer
   x = 728,666.80