Finding the Third Proportional to 69,728 and 144,064

Step by Step Solution

1. Step 1: Write the proportion equation
   69,728 : 144,064 = 144,064 : x
2. Step 2: Convert to fraction form
   69,728/144,064 = 144,064/x
3. Step 3: Cross multiply
   69,728x = 144,064 × 144,064
4. Step 4: Simplify right side
   69,728x = 20,754,436,096
5. Step 5: Solve for x
   x = 20,754,436,096/69,728
6. Step 6: Final answer
   x = 297,648.52