Finding the Third Proportional to 103,666 and 223,184

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666 : 223,184 = 223,184 : x
2. Step 2: Convert to fraction form
   103,666/223,184 = 223,184/x
3. Step 3: Cross multiply
   103,666x = 223,184 × 223,184
4. Step 4: Simplify right side
   103,666x = 49,811,097,856
5. Step 5: Solve for x
   x = 49,811,097,856/103,666
6. Step 6: Final answer
   x = 480,496.00