Finding the Third Proportional to 111,684 and 174,817

Step by Step Solution

1. Step 1: Write the proportion equation
   111,684 : 174,817 = 174,817 : x
2. Step 2: Convert to fraction form
   111,684/174,817 = 174,817/x
3. Step 3: Cross multiply
   111,684x = 174,817 × 174,817
4. Step 4: Simplify right side
   111,684x = 30,560,983,489
5. Step 5: Solve for x
   x = 30,560,983,489/111,684
6. Step 6: Final answer
   x = 273,637.97