Finding the Third Proportional to 81,826 and 165,632

Step by Step Solution

1. Step 1: Write the proportion equation
   81,826 : 165,632 = 165,632 : x
2. Step 2: Convert to fraction form
   81,826/165,632 = 165,632/x
3. Step 3: Cross multiply
   81,826x = 165,632 × 165,632
4. Step 4: Simplify right side
   81,826x = 27,433,959,424
5. Step 5: Solve for x
   x = 27,433,959,424/81,826
6. Step 6: Final answer
   x = 335,271.91