Finding the Third Proportional to 257,148 and 557,064

Step by Step Solution

1. Step 1: Write the proportion equation
   257,148 : 557,064 = 557,064 : x
2. Step 2: Convert to fraction form
   257,148/557,064 = 557,064/x
3. Step 3: Cross multiply
   257,148x = 557,064 × 557,064
4. Step 4: Simplify right side
   257,148x = 310,320,300,096
5. Step 5: Solve for x
   x = 310,320,300,096/257,148
6. Step 6: Final answer
   x = 1,206,777.03