Finding the Third Proportional to 300,352 and 533,920

Step by Step Solution

1. Step 1: Write the proportion equation
   300,352 : 533,920 = 533,920 : x
2. Step 2: Convert to fraction form
   300,352/533,920 = 533,920/x
3. Step 3: Cross multiply
   300,352x = 533,920 × 533,920
4. Step 4: Simplify right side
   300,352x = 285,070,566,400
5. Step 5: Solve for x
   x = 285,070,566,400/300,352
6. Step 6: Final answer
   x = 949,121.59