Finding the Third Proportional to 247,384 and 384,008

Step by Step Solution

1. Step 1: Write the proportion equation
   247,384 : 384,008 = 384,008 : x
2. Step 2: Convert to fraction form
   247,384/384,008 = 384,008/x
3. Step 3: Cross multiply
   247,384x = 384,008 × 384,008
4. Step 4: Simplify right side
   247,384x = 147,462,144,064
5. Step 5: Solve for x
   x = 147,462,144,064/247,384
6. Step 6: Final answer
   x = 596,086.02