Finding the Third Proportional to 144,288 and 215,623.69

Step by Step Solution

1. Step 1: Write the proportion equation
   144,288 : 215,623.69 = 215,623.69 : x
2. Step 2: Convert to fraction form
   144,288/215,623.69 = 215,623.69/x
3. Step 3: Cross multiply
   144,288x = 215,623.69 × 215,623.69
4. Step 4: Simplify right side
   144,288x = 46,493,574,611.10
5. Step 5: Solve for x
   x = 46,493,574,611.10/144,288
6. Step 6: Final answer
   x = 322,227.59