Finding the Third Proportional to 142,944 and 322,314

Step by Step Solution

1. Step 1: Write the proportion equation
   142,944 : 322,314 = 322,314 : x
2. Step 2: Convert to fraction form
   142,944/322,314 = 322,314/x
3. Step 3: Cross multiply
   142,944x = 322,314 × 322,314
4. Step 4: Simplify right side
   142,944x = 103,886,314,596
5. Step 5: Solve for x
   x = 103,886,314,596/142,944
6. Step 6: Final answer
   x = 726,762.33