Finding the Third Proportional to 111,878 and 172,842

Step by Step Solution

1. Step 1: Write the proportion equation
   111,878 : 172,842 = 172,842 : x
2. Step 2: Convert to fraction form
   111,878/172,842 = 172,842/x
3. Step 3: Cross multiply
   111,878x = 172,842 × 172,842
4. Step 4: Simplify right side
   111,878x = 29,874,356,964
5. Step 5: Solve for x
   x = 29,874,356,964/111,878
6. Step 6: Final answer
   x = 267,026.20