Finding the Third Proportional to 250,778 and 384,039

Step by Step Solution

1. Step 1: Write the proportion equation
   250,778 : 384,039 = 384,039 : x
2. Step 2: Convert to fraction form
   250,778/384,039 = 384,039/x
3. Step 3: Cross multiply
   250,778x = 384,039 × 384,039
4. Step 4: Simplify right side
   250,778x = 147,485,953,521
5. Step 5: Solve for x
   x = 147,485,953,521/250,778
6. Step 6: Final answer
   x = 588,113.60