Finding the Third Proportional to 104,564 and 224,298

Step by Step Solution

1. Step 1: Write the proportion equation
   104,564 : 224,298 = 224,298 : x
2. Step 2: Convert to fraction form
   104,564/224,298 = 224,298/x
3. Step 3: Cross multiply
   104,564x = 224,298 × 224,298
4. Step 4: Simplify right side
   104,564x = 50,309,592,804
5. Step 5: Solve for x
   x = 50,309,592,804/104,564
6. Step 6: Final answer
   x = 481,136.84