Finding the Third Proportional to 144,406 and 223,168

Step by Step Solution

1. Step 1: Write the proportion equation
   144,406 : 223,168 = 223,168 : x
2. Step 2: Convert to fraction form
   144,406/223,168 = 223,168/x
3. Step 3: Cross multiply
   144,406x = 223,168 × 223,168
4. Step 4: Simplify right side
   144,406x = 49,803,956,224
5. Step 5: Solve for x
   x = 49,803,956,224/144,406
6. Step 6: Final answer
   x = 344,888.41