Finding the Third Proportional to 68,456 and 148,144

Step by Step Solution

1. Step 1: Write the proportion equation
   68,456 : 148,144 = 148,144 : x
2. Step 2: Convert to fraction form
   68,456/148,144 = 148,144/x
3. Step 3: Cross multiply
   68,456x = 148,144 × 148,144
4. Step 4: Simplify right side
   68,456x = 21,946,644,736
5. Step 5: Solve for x
   x = 21,946,644,736/68,456
6. Step 6: Final answer
   x = 320,594.90