Finding the Third Proportional to 115,686 and 174,986

Step by Step Solution

1. Step 1: Write the proportion equation
   115,686 : 174,986 = 174,986 : x
2. Step 2: Convert to fraction form
   115,686/174,986 = 174,986/x
3. Step 3: Cross multiply
   115,686x = 174,986 × 174,986
4. Step 4: Simplify right side
   115,686x = 30,620,100,196
5. Step 5: Solve for x
   x = 30,620,100,196/115,686
6. Step 6: Final answer
   x = 264,682.85