Finding the Third Proportional to 68,578 and 139,064

Step by Step Solution

1. Step 1: Write the proportion equation
   68,578 : 139,064 = 139,064 : x
2. Step 2: Convert to fraction form
   68,578/139,064 = 139,064/x
3. Step 3: Cross multiply
   68,578x = 139,064 × 139,064
4. Step 4: Simplify right side
   68,578x = 19,338,796,096
5. Step 5: Solve for x
   x = 19,338,796,096/68,578
6. Step 6: Final answer
   x = 281,997.09