Finding the Third Proportional to 262,366 and 405,144

Step by Step Solution

1. Step 1: Write the proportion equation
   262,366 : 405,144 = 405,144 : x
2. Step 2: Convert to fraction form
   262,366/405,144 = 405,144/x
3. Step 3: Cross multiply
   262,366x = 405,144 × 405,144
4. Step 4: Simplify right side
   262,366x = 164,141,660,736
5. Step 5: Solve for x
   x = 164,141,660,736/262,366
6. Step 6: Final answer
   x = 625,620.93