Finding the Third Proportional to 300,338 and 533,902

Step by Step Solution

1. Step 1: Write the proportion equation
   300,338 : 533,902 = 533,902 : x
2. Step 2: Convert to fraction form
   300,338/533,902 = 533,902/x
3. Step 3: Cross multiply
   300,338x = 533,902 × 533,902
4. Step 4: Simplify right side
   300,338x = 285,051,345,604
5. Step 5: Solve for x
   x = 285,051,345,604/300,338
6. Step 6: Final answer
   x = 949,101.83