Finding the Third Proportional to 104,322 and 223,398

Step by Step Solution

1. Step 1: Write the proportion equation
   104,322 : 223,398 = 223,398 : x
2. Step 2: Convert to fraction form
   104,322/223,398 = 223,398/x
3. Step 3: Cross multiply
   104,322x = 223,398 × 223,398
4. Step 4: Simplify right side
   104,322x = 49,906,666,404
5. Step 5: Solve for x
   x = 49,906,666,404/104,322
6. Step 6: Final answer
   x = 478,390.62