Finding the Third Proportional to 111,702 and 174,849

Step by Step Solution

1. Step 1: Write the proportion equation
   111,702 : 174,849 = 174,849 : x
2. Step 2: Convert to fraction form
   111,702/174,849 = 174,849/x
3. Step 3: Cross multiply
   111,702x = 174,849 × 174,849
4. Step 4: Simplify right side
   111,702x = 30,572,172,801
5. Step 5: Solve for x
   x = 30,572,172,801/111,702
6. Step 6: Final answer
   x = 273,694.05