Finding the Third Proportional to 142,938 and 204,957

Step by Step Solution

1. Step 1: Write the proportion equation
   142,938 : 204,957 = 204,957 : x
2. Step 2: Convert to fraction form
   142,938/204,957 = 204,957/x
3. Step 3: Cross multiply
   142,938x = 204,957 × 204,957
4. Step 4: Simplify right side
   142,938x = 42,007,371,849
5. Step 5: Solve for x
   x = 42,007,371,849/142,938
6. Step 6: Final answer
   x = 293,885.26