Finding the Third Proportional to 188,640 and 282,960

Step by Step Solution

1. Step 1: Write the proportion equation
   188,640 : 282,960 = 282,960 : x
2. Step 2: Convert to fraction form
   188,640/282,960 = 282,960/x
3. Step 3: Cross multiply
   188,640x = 282,960 × 282,960
4. Step 4: Simplify right side
   188,640x = 80,066,361,600
5. Step 5: Solve for x
   x = 80,066,361,600/188,640
6. Step 6: Final answer
   x = 424,440