Finding the Third Proportional to 68,096 and 145,456

Step by Step Solution

1. Step 1: Write the proportion equation
   68,096 : 145,456 = 145,456 : x
2. Step 2: Convert to fraction form
   68,096/145,456 = 145,456/x
3. Step 3: Cross multiply
   68,096x = 145,456 × 145,456
4. Step 4: Simplify right side
   68,096x = 21,157,447,936
5. Step 5: Solve for x
   x = 21,157,447,936/68,096
6. Step 6: Final answer
   x = 310,700.30