Finding the Third Proportional to 268,196 and 567,496

Step by Step Solution

1. Step 1: Write the proportion equation
   268,196 : 567,496 = 567,496 : x
2. Step 2: Convert to fraction form
   268,196/567,496 = 567,496/x
3. Step 3: Cross multiply
   268,196x = 567,496 × 567,496
4. Step 4: Simplify right side
   268,196x = 322,051,710,016
5. Step 5: Solve for x
   x = 322,051,710,016/268,196
6. Step 6: Final answer
   x = 1,200,807.28