Finding the Third Proportional to 109,614 and 164,436

Step by Step Solution

1. Step 1: Write the proportion equation
   109,614 : 164,436 = 164,436 : x
2. Step 2: Convert to fraction form
   109,614/164,436 = 164,436/x
3. Step 3: Cross multiply
   109,614x = 164,436 × 164,436
4. Step 4: Simplify right side
   109,614x = 27,039,198,096
5. Step 5: Solve for x
   x = 27,039,198,096/109,614
6. Step 6: Final answer
   x = 246,676.50