Finding the Third Proportional to 111,328 and 172,410

Step by Step Solution

1. Step 1: Write the proportion equation
   111,328 : 172,410 = 172,410 : x
2. Step 2: Convert to fraction form
   111,328/172,410 = 172,410/x
3. Step 3: Cross multiply
   111,328x = 172,410 × 172,410
4. Step 4: Simplify right side
   111,328x = 29,725,208,100
5. Step 5: Solve for x
   x = 29,725,208,100/111,328
6. Step 6: Final answer
   x = 267,005.68