Finding the Third Proportional to 144,412 and 223,174

Step by Step Solution

1. Step 1: Write the proportion equation
   144,412 : 223,174 = 223,174 : x
2. Step 2: Convert to fraction form
   144,412/223,174 = 223,174/x
3. Step 3: Cross multiply
   144,412x = 223,174 × 223,174
4. Step 4: Simplify right side
   144,412x = 49,806,634,276
5. Step 5: Solve for x
   x = 49,806,634,276/144,412
6. Step 6: Final answer
   x = 344,892.63