Finding the Third Proportional to 103,665 and 223,870

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 223,870 = 223,870 : x
2. Step 2: Convert to fraction form
   103,665/223,870 = 223,870/x
3. Step 3: Cross multiply
   103,665x = 223,870 × 223,870
4. Step 4: Simplify right side
   103,665x = 50,117,776,900
5. Step 5: Solve for x
   x = 50,117,776,900/103,665
6. Step 6: Final answer
   x = 483,459.00