Finding the Third Proportional to 111,172 and 174,678

Step by Step Solution

1. Step 1: Write the proportion equation
   111,172 : 174,678 = 174,678 : x
2. Step 2: Convert to fraction form
   111,172/174,678 = 174,678/x
3. Step 3: Cross multiply
   111,172x = 174,678 × 174,678
4. Step 4: Simplify right side
   111,172x = 30,512,403,684
5. Step 5: Solve for x
   x = 30,512,403,684/111,172
6. Step 6: Final answer
   x = 274,461.23