Finding the Third Proportional to 165,600 and 262,404

Step by Step Solution

1. Step 1: Write the proportion equation
   165,600 : 262,404 = 262,404 : x
2. Step 2: Convert to fraction form
   165,600/262,404 = 262,404/x
3. Step 3: Cross multiply
   165,600x = 262,404 × 262,404
4. Step 4: Simplify right side
   165,600x = 68,855,859,216
5. Step 5: Solve for x
   x = 68,855,859,216/165,600
6. Step 6: Final answer
   x = 415,796.25