Finding the Third Proportional to 300,339 and 533,904

Step by Step Solution

1. Step 1: Write the proportion equation
   300,339 : 533,904 = 533,904 : x
2. Step 2: Convert to fraction form
   300,339/533,904 = 533,904/x
3. Step 3: Cross multiply
   300,339x = 533,904 × 533,904
4. Step 4: Simplify right side
   300,339x = 285,053,481,216
5. Step 5: Solve for x
   x = 285,053,481,216/300,339
6. Step 6: Final answer
   x = 949,105.78