Finding the Third Proportional to 103,665 and 204,892

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 204,892 = 204,892 : x
2. Step 2: Convert to fraction form
   103,665/204,892 = 204,892/x
3. Step 3: Cross multiply
   103,665x = 204,892 × 204,892
4. Step 4: Simplify right side
   103,665x = 41,980,731,664
5. Step 5: Solve for x
   x = 41,980,731,664/103,665
6. Step 6: Final answer
   x = 404,965.34