Finding the Third Proportional to 144,645 and 223,947

Step by Step Solution

1. Step 1: Write the proportion equation
   144,645 : 223,947 = 223,947 : x
2. Step 2: Convert to fraction form
   144,645/223,947 = 223,947/x
3. Step 3: Cross multiply
   144,645x = 223,947 × 223,947
4. Step 4: Simplify right side
   144,645x = 50,152,258,809
5. Step 5: Solve for x
   x = 50,152,258,809/144,645
6. Step 6: Final answer
   x = 346,726.53