Finding the Third Proportional to 111,698 and 174,843

Step by Step Solution

1. Step 1: Write the proportion equation
   111,698 : 174,843 = 174,843 : x
2. Step 2: Convert to fraction form
   111,698/174,843 = 174,843/x
3. Step 3: Cross multiply
   111,698x = 174,843 × 174,843
4. Step 4: Simplify right side
   111,698x = 30,570,074,649
5. Step 5: Solve for x
   x = 30,570,074,649/111,698
6. Step 6: Final answer
   x = 273,685.07