Finding the Third Proportional to 147,744 and 200,880

Step by Step Solution

1. Step 1: Write the proportion equation
   147,744 : 200,880 = 200,880 : x
2. Step 2: Convert to fraction form
   147,744/200,880 = 200,880/x
3. Step 3: Cross multiply
   147,744x = 200,880 × 200,880
4. Step 4: Simplify right side
   147,744x = 40,352,774,400
5. Step 5: Solve for x
   x = 40,352,774,400/147,744
6. Step 6: Final answer
   x = 273,126.32