Finding the Third Proportional to 165,078 and 257,499

Step by Step Solution

1. Step 1: Write the proportion equation
   165,078 : 257,499 = 257,499 : x
2. Step 2: Convert to fraction form
   165,078/257,499 = 257,499/x
3. Step 3: Cross multiply
   165,078x = 257,499 × 257,499
4. Step 4: Simplify right side
   165,078x = 66,305,735,001
5. Step 5: Solve for x
   x = 66,305,735,001/165,078
6. Step 6: Final answer
   x = 401,663.06