Finding the Third Proportional to 111,988 and 174,801

Step by Step Solution

1. Step 1: Write the proportion equation
   111,988 : 174,801 = 174,801 : x
2. Step 2: Convert to fraction form
   111,988/174,801 = 174,801/x
3. Step 3: Cross multiply
   111,988x = 174,801 × 174,801
4. Step 4: Simplify right side
   111,988x = 30,555,389,601
5. Step 5: Solve for x
   x = 30,555,389,601/111,988
6. Step 6: Final answer
   x = 272,845.21