Finding the Third Proportional to 144,654 and 223,533

Step by Step Solution

1. Step 1: Write the proportion equation
   144,654 : 223,533 = 223,533 : x
2. Step 2: Convert to fraction form
   144,654/223,533 = 223,533/x
3. Step 3: Cross multiply
   144,654x = 223,533 × 223,533
4. Step 4: Simplify right side
   144,654x = 49,967,002,089
5. Step 5: Solve for x
   x = 49,967,002,089/144,654
6. Step 6: Final answer
   x = 345,424.27