Finding the Third Proportional to 300,504 and 467,982

Step by Step Solution

1. Step 1: Write the proportion equation
   300,504 : 467,982 = 467,982 : x
2. Step 2: Convert to fraction form
   300,504/467,982 = 467,982/x
3. Step 3: Cross multiply
   300,504x = 467,982 × 467,982
4. Step 4: Simplify right side
   300,504x = 219,007,152,324
5. Step 5: Solve for x
   x = 219,007,152,324/300,504
6. Step 6: Final answer
   x = 728,799.46