Finding the Third Proportional to 262,364 and 405,141

Step by Step Solution

1. Step 1: Write the proportion equation
   262,364 : 405,141 = 405,141 : x
2. Step 2: Convert to fraction form
   262,364/405,141 = 405,141/x
3. Step 3: Cross multiply
   262,364x = 405,141 × 405,141
4. Step 4: Simplify right side
   262,364x = 164,139,229,881
5. Step 5: Solve for x
   x = 164,139,229,881/262,364
6. Step 6: Final answer
   x = 625,616.43