Finding the Third Proportional to 108,960 and 164,364

Step by Step Solution

1. Step 1: Write the proportion equation
   108,960 : 164,364 = 164,364 : x
2. Step 2: Convert to fraction form
   108,960/164,364 = 164,364/x
3. Step 3: Cross multiply
   108,960x = 164,364 × 164,364
4. Step 4: Simplify right side
   108,960x = 27,015,524,496
5. Step 5: Solve for x
   x = 27,015,524,496/108,960
6. Step 6: Final answer
   x = 247,939.84