Finding the Third Proportional to 111,459 and 172,778

Step by Step Solution

1. Step 1: Write the proportion equation
   111,459 : 172,778 = 172,778 : x
2. Step 2: Convert to fraction form
   111,459/172,778 = 172,778/x
3. Step 3: Cross multiply
   111,459x = 172,778 × 172,778
4. Step 4: Simplify right side
   111,459x = 29,852,237,284
5. Step 5: Solve for x
   x = 29,852,237,284/111,459
6. Step 6: Final answer
   x = 267,831.55