Finding the Third Proportional to 165,615 and 359,238

Step by Step Solution

1. Step 1: Write the proportion equation
   165,615 : 359,238 = 359,238 : x
2. Step 2: Convert to fraction form
   165,615/359,238 = 359,238/x
3. Step 3: Cross multiply
   165,615x = 359,238 × 359,238
4. Step 4: Simplify right side
   165,615x = 129,051,940,644
5. Step 5: Solve for x
   x = 129,051,940,644/165,615
6. Step 6: Final answer
   x = 779,228.58