Finding the Third Proportional to 257,268 and 601,252.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,268 : 601,252.50 = 601,252.50 : x
2. Step 2: Convert to fraction form
   257,268/601,252.50 = 601,252.50/x
3. Step 3: Cross multiply
   257,268x = 601,252.50 × 601,252.50
4. Step 4: Simplify right side
   257,268x = 361,504,568,756.25
5. Step 5: Solve for x
   x = 361,504,568,756.25/257,268
6. Step 6: Final answer
   x = 1,405,167.25