Finding the Third Proportional to 257,667 and 401,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,667 : 401,224.50 = 401,224.50 : x
2. Step 2: Convert to fraction form
   257,667/401,224.50 = 401,224.50/x
3. Step 3: Cross multiply
   257,667x = 401,224.50 × 401,224.50
4. Step 4: Simplify right side
   257,667x = 160,981,099,400.25
5. Step 5: Solve for x
   x = 160,981,099,400.25/257,667
6. Step 6: Final answer
   x = 624,764.13