Finding the Third Proportional to 68,728 and 146,456

Step by Step Solution

1. Step 1: Write the proportion equation
   68,728 : 146,456 = 146,456 : x
2. Step 2: Convert to fraction form
   68,728/146,456 = 146,456/x
3. Step 3: Cross multiply
   68,728x = 146,456 × 146,456
4. Step 4: Simplify right side
   68,728x = 21,449,359,936
5. Step 5: Solve for x
   x = 21,449,359,936/68,728
6. Step 6: Final answer
   x = 312,090.56