Finding the Third Proportional to 111,164 and 172,400

Step by Step Solution

1. Step 1: Write the proportion equation
   111,164 : 172,400 = 172,400 : x
2. Step 2: Convert to fraction form
   111,164/172,400 = 172,400/x
3. Step 3: Cross multiply
   111,164x = 172,400 × 172,400
4. Step 4: Simplify right side
   111,164x = 29,721,760,000
5. Step 5: Solve for x
   x = 29,721,760,000/111,164
6. Step 6: Final answer
   x = 267,368.57