Finding the Third Proportional to 238,394 and 496,384

Step by Step Solution

1. Step 1: Write the proportion equation
   238,394 : 496,384 = 496,384 : x
2. Step 2: Convert to fraction form
   238,394/496,384 = 496,384/x
3. Step 3: Cross multiply
   238,394x = 496,384 × 496,384
4. Step 4: Simplify right side
   238,394x = 246,397,075,456
5. Step 5: Solve for x
   x = 246,397,075,456/238,394
6. Step 6: Final answer
   x = 1,033,570.79