Finding the Third Proportional to 245,597 and 380,384

Step by Step Solution

1. Step 1: Write the proportion equation
   245,597 : 380,384 = 380,384 : x
2. Step 2: Convert to fraction form
   245,597/380,384 = 380,384/x
3. Step 3: Cross multiply
   245,597x = 380,384 × 380,384
4. Step 4: Simplify right side
   245,597x = 144,691,987,456
5. Step 5: Solve for x
   x = 144,691,987,456/245,597
6. Step 6: Final answer
   x = 589,143.95