Finding the Third Proportional to 268,276.50 and 363,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,276.50 : 363,046.50 = 363,046.50 : x
2. Step 2: Convert to fraction form
   268,276.50/363,046.50 = 363,046.50/x
3. Step 3: Cross multiply
   268,276.50x = 363,046.50 × 363,046.50
4. Step 4: Simplify right side
   268,276.50x = 131,802,761,162.25
5. Step 5: Solve for x
   x = 131,802,761,162.25/268,276.50
6. Step 6: Final answer
   x = 491,294.47