Finding the Third Proportional to 109,662 and 165,696

Step by Step Solution

1. Step 1: Write the proportion equation
   109,662 : 165,696 = 165,696 : x
2. Step 2: Convert to fraction form
   109,662/165,696 = 165,696/x
3. Step 3: Cross multiply
   109,662x = 165,696 × 165,696
4. Step 4: Simplify right side
   109,662x = 27,455,164,416
5. Step 5: Solve for x
   x = 27,455,164,416/109,662
6. Step 6: Final answer
   x = 250,361.70