Finding the Third Proportional to 111,340 and 172,420

Step by Step Solution

1. Step 1: Write the proportion equation
   111,340 : 172,420 = 172,420 : x
2. Step 2: Convert to fraction form
   111,340/172,420 = 172,420/x
3. Step 3: Cross multiply
   111,340x = 172,420 × 172,420
4. Step 4: Simplify right side
   111,340x = 29,728,656,400
5. Step 5: Solve for x
   x = 29,728,656,400/111,340
6. Step 6: Final answer
   x = 267,007.87