Finding the Third Proportional to 257,634 and 522,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,634 : 522,544.50 = 522,544.50 : x
2. Step 2: Convert to fraction form
   257,634/522,544.50 = 522,544.50/x
3. Step 3: Cross multiply
   257,634x = 522,544.50 × 522,544.50
4. Step 4: Simplify right side
   257,634x = 273,052,754,480.25
5. Step 5: Solve for x
   x = 273,052,754,480.25/257,634
6. Step 6: Final answer
   x = 1,059,847.51