Finding the Third Proportional to 104,322 and 223,404

Step by Step Solution

1. Step 1: Write the proportion equation
   104,322 : 223,404 = 223,404 : x
2. Step 2: Convert to fraction form
   104,322/223,404 = 223,404/x
3. Step 3: Cross multiply
   104,322x = 223,404 × 223,404
4. Step 4: Simplify right side
   104,322x = 49,909,347,216
5. Step 5: Solve for x
   x = 49,909,347,216/104,322
6. Step 6: Final answer
   x = 478,416.32