Finding the Third Proportional to 145,314 and 324,648

Step by Step Solution

1. Step 1: Write the proportion equation
   145,314 : 324,648 = 324,648 : x
2. Step 2: Convert to fraction form
   145,314/324,648 = 324,648/x
3. Step 3: Cross multiply
   145,314x = 324,648 × 324,648
4. Step 4: Simplify right side
   145,314x = 105,396,323,904
5. Step 5: Solve for x
   x = 105,396,323,904/145,314
6. Step 6: Final answer
   x = 725,300.55