Finding the Third Proportional to 145,764 and 219,096

Step by Step Solution

1. Step 1: Write the proportion equation
   145,764 : 219,096 = 219,096 : x
2. Step 2: Convert to fraction form
   145,764/219,096 = 219,096/x
3. Step 3: Cross multiply
   145,764x = 219,096 × 219,096
4. Step 4: Simplify right side
   145,764x = 48,003,057,216
5. Step 5: Solve for x
   x = 48,003,057,216/145,764
6. Step 6: Final answer
   x = 329,320.39