Finding the Third Proportional to 109,740 and 174,519

Step by Step Solution

1. Step 1: Write the proportion equation
   109,740 : 174,519 = 174,519 : x
2. Step 2: Convert to fraction form
   109,740/174,519 = 174,519/x
3. Step 3: Cross multiply
   109,740x = 174,519 × 174,519
4. Step 4: Simplify right side
   109,740x = 30,456,881,361
5. Step 5: Solve for x
   x = 30,456,881,361/109,740
6. Step 6: Final answer
   x = 277,536.74