Finding the Third Proportional to 111,338 and 172,417

Step by Step Solution

1. Step 1: Write the proportion equation
   111,338 : 172,417 = 172,417 : x
2. Step 2: Convert to fraction form
   111,338/172,417 = 172,417/x
3. Step 3: Cross multiply
   111,338x = 172,417 × 172,417
4. Step 4: Simplify right side
   111,338x = 29,727,621,889
5. Step 5: Solve for x
   x = 29,727,621,889/111,338
6. Step 6: Final answer
   x = 267,003.38