Finding the Third Proportional to 111,682 and 174,814

Step by Step Solution

1. Step 1: Write the proportion equation
   111,682 : 174,814 = 174,814 : x
2. Step 2: Convert to fraction form
   111,682/174,814 = 174,814/x
3. Step 3: Cross multiply
   111,682x = 174,814 × 174,814
4. Step 4: Simplify right side
   111,682x = 30,559,934,596
5. Step 5: Solve for x
   x = 30,559,934,596/111,682
6. Step 6: Final answer
   x = 273,633.48