Finding the Third Proportional to 300,344 and 533,914

Step by Step Solution

1. Step 1: Write the proportion equation
   300,344 : 533,914 = 533,914 : x
2. Step 2: Convert to fraction form
   300,344/533,914 = 533,914/x
3. Step 3: Cross multiply
   300,344x = 533,914 × 533,914
4. Step 4: Simplify right side
   300,344x = 285,064,159,396
5. Step 5: Solve for x
   x = 285,064,159,396/300,344
6. Step 6: Final answer
   x = 949,125.53