Finding the Third Proportional to 109,680 and 165,870

Step by Step Solution

1. Step 1: Write the proportion equation
   109,680 : 165,870 = 165,870 : x
2. Step 2: Convert to fraction form
   109,680/165,870 = 165,870/x
3. Step 3: Cross multiply
   109,680x = 165,870 × 165,870
4. Step 4: Simplify right side
   109,680x = 27,512,856,900
5. Step 5: Solve for x
   x = 27,512,856,900/109,680
6. Step 6: Final answer
   x = 250,846.62