Finding the Third Proportional to 250,398 and 383,886

Step by Step Solution

1. Step 1: Write the proportion equation
   250,398 : 383,886 = 383,886 : x
2. Step 2: Convert to fraction form
   250,398/383,886 = 383,886/x
3. Step 3: Cross multiply
   250,398x = 383,886 × 383,886
4. Step 4: Simplify right side
   250,398x = 147,368,460,996
5. Step 5: Solve for x
   x = 147,368,460,996/250,398
6. Step 6: Final answer
   x = 588,536.89