Finding the Third Proportional to 238,306 and 496,214

Step by Step Solution

1. Step 1: Write the proportion equation
   238,306 : 496,214 = 496,214 : x
2. Step 2: Convert to fraction form
   238,306/496,214 = 496,214/x
3. Step 3: Cross multiply
   238,306x = 496,214 × 496,214
4. Step 4: Simplify right side
   238,306x = 246,228,333,796
5. Step 5: Solve for x
   x = 246,228,333,796/238,306
6. Step 6: Final answer
   x = 1,033,244.37