Finding the Third Proportional to 103,689 and 204,940

Step by Step Solution

1. Step 1: Write the proportion equation
   103,689 : 204,940 = 204,940 : x
2. Step 2: Convert to fraction form
   103,689/204,940 = 204,940/x
3. Step 3: Cross multiply
   103,689x = 204,940 × 204,940
4. Step 4: Simplify right side
   103,689x = 42,000,403,600
5. Step 5: Solve for x
   x = 42,000,403,600/103,689
6. Step 6: Final answer
   x = 405,061.32