Finding the Third Proportional to 108,936 and 164,322

Step by Step Solution

1. Step 1: Write the proportion equation
   108,936 : 164,322 = 164,322 : x
2. Step 2: Convert to fraction form
   108,936/164,322 = 164,322/x
3. Step 3: Cross multiply
   108,936x = 164,322 × 164,322
4. Step 4: Simplify right side
   108,936x = 27,001,719,684
5. Step 5: Solve for x
   x = 27,001,719,684/108,936
6. Step 6: Final answer
   x = 247,867.74