Finding the Third Proportional to 238,380 and 496,362

Step by Step Solution

1. Step 1: Write the proportion equation
   238,380 : 496,362 = 496,362 : x
2. Step 2: Convert to fraction form
   238,380/496,362 = 496,362/x
3. Step 3: Cross multiply
   238,380x = 496,362 × 496,362
4. Step 4: Simplify right side
   238,380x = 246,375,235,044
5. Step 5: Solve for x
   x = 246,375,235,044/238,380
6. Step 6: Final answer
   x = 1,033,539.87