Finding the Third Proportional to 144,396 and 223,155

Step by Step Solution

1. Step 1: Write the proportion equation
   144,396 : 223,155 = 223,155 : x
2. Step 2: Convert to fraction form
   144,396/223,155 = 223,155/x
3. Step 3: Cross multiply
   144,396x = 223,155 × 223,155
4. Step 4: Simplify right side
   144,396x = 49,798,154,025
5. Step 5: Solve for x
   x = 49,798,154,025/144,396
6. Step 6: Final answer
   x = 344,872.12