Finding the Third Proportional to 245,864 and 384,012

Step by Step Solution

1. Step 1: Write the proportion equation
   245,864 : 384,012 = 384,012 : x
2. Step 2: Convert to fraction form
   245,864/384,012 = 384,012/x
3. Step 3: Cross multiply
   245,864x = 384,012 × 384,012
4. Step 4: Simplify right side
   245,864x = 147,465,216,144
5. Step 5: Solve for x
   x = 147,465,216,144/245,864
6. Step 6: Final answer
   x = 599,783.69