Finding the Third Proportional to 103,654 and 223,868

Step by Step Solution

1. Step 1: Write the proportion equation
   103,654 : 223,868 = 223,868 : x
2. Step 2: Convert to fraction form
   103,654/223,868 = 223,868/x
3. Step 3: Cross multiply
   103,654x = 223,868 × 223,868
4. Step 4: Simplify right side
   103,654x = 50,116,881,424
5. Step 5: Solve for x
   x = 50,116,881,424/103,654
6. Step 6: Final answer
   x = 483,501.66