Finding the Third Proportional to 144,168 and 229,576

Step by Step Solution

1. Step 1: Write the proportion equation
   144,168 : 229,576 = 229,576 : x
2. Step 2: Convert to fraction form
   144,168/229,576 = 229,576/x
3. Step 3: Cross multiply
   144,168x = 229,576 × 229,576
4. Step 4: Simplify right side
   144,168x = 52,705,139,776
5. Step 5: Solve for x
   x = 52,705,139,776/144,168
6. Step 6: Final answer
   x = 365,581.40