Finding the Third Proportional to 268,563 and 363,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,563 : 363,451.50 = 363,451.50 : x
2. Step 2: Convert to fraction form
   268,563/363,451.50 = 363,451.50/x
3. Step 3: Cross multiply
   268,563x = 363,451.50 × 363,451.50
4. Step 4: Simplify right side
   268,563x = 132,096,992,852.25
5. Step 5: Solve for x
   x = 132,096,992,852.25/268,563
6. Step 6: Final answer
   x = 491,865.94