Finding the Third Proportional to 257,040 and 400,184

Step by Step Solution

1. Step 1: Write the proportion equation
   257,040 : 400,184 = 400,184 : x
2. Step 2: Convert to fraction form
   257,040/400,184 = 400,184/x
3. Step 3: Cross multiply
   257,040x = 400,184 × 400,184
4. Step 4: Simplify right side
   257,040x = 160,147,233,856
5. Step 5: Solve for x
   x = 160,147,233,856/257,040
6. Step 6: Final answer
   x = 623,044.02