Finding the Third Proportional to 144,512 and 215,680

Step by Step Solution

1. Step 1: Write the proportion equation
   144,512 : 215,680 = 215,680 : x
2. Step 2: Convert to fraction form
   144,512/215,680 = 215,680/x
3. Step 3: Cross multiply
   144,512x = 215,680 × 215,680
4. Step 4: Simplify right side
   144,512x = 46,517,862,400
5. Step 5: Solve for x
   x = 46,517,862,400/144,512
6. Step 6: Final answer
   x = 321,896.19