Finding the Third Proportional to 111,678 and 174,807

Step by Step Solution

1. Step 1: Write the proportion equation
   111,678 : 174,807 = 174,807 : x
2. Step 2: Convert to fraction form
   111,678/174,807 = 174,807/x
3. Step 3: Cross multiply
   111,678x = 174,807 × 174,807
4. Step 4: Simplify right side
   111,678x = 30,557,487,249
5. Step 5: Solve for x
   x = 30,557,487,249/111,678
6. Step 6: Final answer
   x = 273,621.37