Finding the Third Proportional to 142,928 and 322,274

Step by Step Solution

1. Step 1: Write the proportion equation
   142,928 : 322,274 = 322,274 : x
2. Step 2: Convert to fraction form
   142,928/322,274 = 322,274/x
3. Step 3: Cross multiply
   142,928x = 322,274 × 322,274
4. Step 4: Simplify right side
   142,928x = 103,860,531,076
5. Step 5: Solve for x
   x = 103,860,531,076/142,928
6. Step 6: Final answer
   x = 726,663.29