Finding the Third Proportional to 245,861 and 384,009

Step by Step Solution

1. Step 1: Write the proportion equation
   245,861 : 384,009 = 384,009 : x
2. Step 2: Convert to fraction form
   245,861/384,009 = 384,009/x
3. Step 3: Cross multiply
   245,861x = 384,009 × 384,009
4. Step 4: Simplify right side
   245,861x = 147,462,912,081
5. Step 5: Solve for x
   x = 147,462,912,081/245,861
6. Step 6: Final answer
   x = 599,781.63