Finding the Third Proportional to 146,096 and 219,144

Step by Step Solution

1. Step 1: Write the proportion equation
   146,096 : 219,144 = 219,144 : x
2. Step 2: Convert to fraction form
   146,096/219,144 = 219,144/x
3. Step 3: Cross multiply
   146,096x = 219,144 × 219,144
4. Step 4: Simplify right side
   146,096x = 48,024,092,736
5. Step 5: Solve for x
   x = 48,024,092,736/146,096
6. Step 6: Final answer
   x = 328,716