Finding the Third Proportional to 103,086 and 223,665

Step by Step Solution

1. Step 1: Write the proportion equation
   103,086 : 223,665 = 223,665 : x
2. Step 2: Convert to fraction form
   103,086/223,665 = 223,665/x
3. Step 3: Cross multiply
   103,086x = 223,665 × 223,665
4. Step 4: Simplify right side
   103,086x = 50,026,032,225
5. Step 5: Solve for x
   x = 50,026,032,225/103,086
6. Step 6: Final answer
   x = 485,284.44