Finding the Third Proportional to 109,739 and 174,518

Step by Step Solution

1. Step 1: Write the proportion equation
   109,739 : 174,518 = 174,518 : x
2. Step 2: Convert to fraction form
   109,739/174,518 = 174,518/x
3. Step 3: Cross multiply
   109,739x = 174,518 × 174,518
4. Step 4: Simplify right side
   109,739x = 30,456,532,324
5. Step 5: Solve for x
   x = 30,456,532,324/109,739
6. Step 6: Final answer
   x = 277,536.08