Finding the Third Proportional to 109,878 and 164,745

Step by Step Solution

1. Step 1: Write the proportion equation
   109,878 : 164,745 = 164,745 : x
2. Step 2: Convert to fraction form
   109,878/164,745 = 164,745/x
3. Step 3: Cross multiply
   109,878x = 164,745 × 164,745
4. Step 4: Simplify right side
   109,878x = 27,140,915,025
5. Step 5: Solve for x
   x = 27,140,915,025/109,878
6. Step 6: Final answer
   x = 247,009.55