Finding the Third Proportional to 102,624 and 223,824

Step by Step Solution

1. Step 1: Write the proportion equation
   102,624 : 223,824 = 223,824 : x
2. Step 2: Convert to fraction form
   102,624/223,824 = 223,824/x
3. Step 3: Cross multiply
   102,624x = 223,824 × 223,824
4. Step 4: Simplify right side
   102,624x = 50,097,182,976
5. Step 5: Solve for x
   x = 50,097,182,976/102,624
6. Step 6: Final answer
   x = 488,162.45