Finding the Third Proportional to 144,709 and 223,624

Step by Step Solution

1. Step 1: Write the proportion equation
   144,709 : 223,624 = 223,624 : x
2. Step 2: Convert to fraction form
   144,709/223,624 = 223,624/x
3. Step 3: Cross multiply
   144,709x = 223,624 × 223,624
4. Step 4: Simplify right side
   144,709x = 50,007,693,376
5. Step 5: Solve for x
   x = 50,007,693,376/144,709
6. Step 6: Final answer
   x = 345,574.18