Finding the Third Proportional to 300,354 and 533,924

Step by Step Solution

1. Step 1: Write the proportion equation
   300,354 : 533,924 = 533,924 : x
2. Step 2: Convert to fraction form
   300,354/533,924 = 533,924/x
3. Step 3: Cross multiply
   300,354x = 533,924 × 533,924
4. Step 4: Simplify right side
   300,354x = 285,074,837,776
5. Step 5: Solve for x
   x = 285,074,837,776/300,354
6. Step 6: Final answer
   x = 949,129.49