Finding the Third Proportional to 63,168 and 137,640

Step by Step Solution

1. Step 1: Write the proportion equation
   63,168 : 137,640 = 137,640 : x
2. Step 2: Convert to fraction form
   63,168/137,640 = 137,640/x
3. Step 3: Cross multiply
   63,168x = 137,640 × 137,640
4. Step 4: Simplify right side
   63,168x = 18,944,769,600
5. Step 5: Solve for x
   x = 18,944,769,600/63,168
6. Step 6: Final answer
   x = 299,910.87