Finding the Third Proportional to 103,666 and 223,892

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666 : 223,892 = 223,892 : x
2. Step 2: Convert to fraction form
   103,666/223,892 = 223,892/x
3. Step 3: Cross multiply
   103,666x = 223,892 × 223,892
4. Step 4: Simplify right side
   103,666x = 50,127,627,664
5. Step 5: Solve for x
   x = 50,127,627,664/103,666
6. Step 6: Final answer
   x = 483,549.36