Finding the Third Proportional to 165,738 and 262,856

Step by Step Solution

1. Step 1: Write the proportion equation
   165,738 : 262,856 = 262,856 : x
2. Step 2: Convert to fraction form
   165,738/262,856 = 262,856/x
3. Step 3: Cross multiply
   165,738x = 262,856 × 262,856
4. Step 4: Simplify right side
   165,738x = 69,093,276,736
5. Step 5: Solve for x
   x = 69,093,276,736/165,738
6. Step 6: Final answer
   x = 416,882.53