Finding the Third Proportional to 144,396 and 223,152

Step by Step Solution

1. Step 1: Write the proportion equation
   144,396 : 223,152 = 223,152 : x
2. Step 2: Convert to fraction form
   144,396/223,152 = 223,152/x
3. Step 3: Cross multiply
   144,396x = 223,152 × 223,152
4. Step 4: Simplify right side
   144,396x = 49,796,815,104
5. Step 5: Solve for x
   x = 49,796,815,104/144,396
6. Step 6: Final answer
   x = 344,862.84