Finding the Third Proportional to 144,402 and 223,164

Step by Step Solution

1. Step 1: Write the proportion equation
   144,402 : 223,164 = 223,164 : x
2. Step 2: Convert to fraction form
   144,402/223,164 = 223,164/x
3. Step 3: Cross multiply
   144,402x = 223,164 × 223,164
4. Step 4: Simplify right side
   144,402x = 49,802,170,896
5. Step 5: Solve for x
   x = 49,802,170,896/144,402
6. Step 6: Final answer
   x = 344,885.60