Finding the Third Proportional to 111,686 and 174,820

Step by Step Solution

1. Step 1: Write the proportion equation
   111,686 : 174,820 = 174,820 : x
2. Step 2: Convert to fraction form
   111,686/174,820 = 174,820/x
3. Step 3: Cross multiply
   111,686x = 174,820 × 174,820
4. Step 4: Simplify right side
   111,686x = 30,562,032,400
5. Step 5: Solve for x
   x = 30,562,032,400/111,686
6. Step 6: Final answer
   x = 273,642.47