Finding the Third Proportional to 247,456 and 384,144

Step by Step Solution

1. Step 1: Write the proportion equation
   247,456 : 384,144 = 384,144 : x
2. Step 2: Convert to fraction form
   247,456/384,144 = 384,144/x
3. Step 3: Cross multiply
   247,456x = 384,144 × 384,144
4. Step 4: Simplify right side
   247,456x = 147,566,612,736
5. Step 5: Solve for x
   x = 147,566,612,736/247,456
6. Step 6: Final answer
   x = 596,334.75