Finding the Third Proportional to 101,574 and 222,834

Step by Step Solution

1. Step 1: Write the proportion equation
   101,574 : 222,834 = 222,834 : x
2. Step 2: Convert to fraction form
   101,574/222,834 = 222,834/x
3. Step 3: Cross multiply
   101,574x = 222,834 × 222,834
4. Step 4: Simplify right side
   101,574x = 49,654,991,556
5. Step 5: Solve for x
   x = 49,654,991,556/101,574
6. Step 6: Final answer
   x = 488,855.33