Finding the Third Proportional to 127,686 and 205,736

Step by Step Solution

1. Step 1: Write the proportion equation
   127,686 : 205,736 = 205,736 : x
2. Step 2: Convert to fraction form
   127,686/205,736 = 205,736/x
3. Step 3: Cross multiply
   127,686x = 205,736 × 205,736
4. Step 4: Simplify right side
   127,686x = 42,327,301,696
5. Step 5: Solve for x
   x = 42,327,301,696/127,686
6. Step 6: Final answer
   x = 331,495.24