Finding the Third Proportional to 110,644 and 172,878

Step by Step Solution

1. Step 1: Write the proportion equation
   110,644 : 172,878 = 172,878 : x
2. Step 2: Convert to fraction form
   110,644/172,878 = 172,878/x
3. Step 3: Cross multiply
   110,644x = 172,878 × 172,878
4. Step 4: Simplify right side
   110,644x = 29,886,802,884
5. Step 5: Solve for x
   x = 29,886,802,884/110,644
6. Step 6: Final answer
   x = 270,116.80