Finding the Third Proportional to 282,930 and 384,479

Step by Step Solution

1. Step 1: Write the proportion equation
   282,930 : 384,479 = 384,479 : x
2. Step 2: Convert to fraction form
   282,930/384,479 = 384,479/x
3. Step 3: Cross multiply
   282,930x = 384,479 × 384,479
4. Step 4: Simplify right side
   282,930x = 147,824,101,441
5. Step 5: Solve for x
   x = 147,824,101,441/282,930
6. Step 6: Final answer
   x = 522,475.88