Finding the Third Proportional to 100,654 and 205,676

Step by Step Solution

1. Step 1: Write the proportion equation
   100,654 : 205,676 = 205,676 : x
2. Step 2: Convert to fraction form
   100,654/205,676 = 205,676/x
3. Step 3: Cross multiply
   100,654x = 205,676 × 205,676
4. Step 4: Simplify right side
   100,654x = 42,302,616,976
5. Step 5: Solve for x
   x = 42,302,616,976/100,654
6. Step 6: Final answer
   x = 420,277.55