Finding the Third Proportional to 262,364 and 401,152

Step by Step Solution

1. Step 1: Write the proportion equation
   262,364 : 401,152 = 401,152 : x
2. Step 2: Convert to fraction form
   262,364/401,152 = 401,152/x
3. Step 3: Cross multiply
   262,364x = 401,152 × 401,152
4. Step 4: Simplify right side
   262,364x = 160,922,927,104
5. Step 5: Solve for x
   x = 160,922,927,104/262,364
6. Step 6: Final answer
   x = 613,357.50