Finding the Third Proportional to 268,713 and 401,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,713 : 401,665.50 = 401,665.50 : x
2. Step 2: Convert to fraction form
   268,713/401,665.50 = 401,665.50/x
3. Step 3: Cross multiply
   268,713x = 401,665.50 × 401,665.50
4. Step 4: Simplify right side
   268,713x = 161,335,173,890.25
5. Step 5: Solve for x
   x = 161,335,173,890.25/268,713
6. Step 6: Final answer
   x = 600,399.59