Finding the Third Proportional to 103,696 and 204,954

Step by Step Solution

1. Step 1: Write the proportion equation
   103,696 : 204,954 = 204,954 : x
2. Step 2: Convert to fraction form
   103,696/204,954 = 204,954/x
3. Step 3: Cross multiply
   103,696x = 204,954 × 204,954
4. Step 4: Simplify right side
   103,696x = 42,006,142,116
5. Step 5: Solve for x
   x = 42,006,142,116/103,696
6. Step 6: Final answer
   x = 405,089.32