Finding the Third Proportional to 109,686 and 165,732

Step by Step Solution

1. Step 1: Write the proportion equation
   109,686 : 165,732 = 165,732 : x
2. Step 2: Convert to fraction form
   109,686/165,732 = 165,732/x
3. Step 3: Cross multiply
   109,686x = 165,732 × 165,732
4. Step 4: Simplify right side
   109,686x = 27,467,095,824
5. Step 5: Solve for x
   x = 27,467,095,824/109,686
6. Step 6: Final answer
   x = 250,415.69