Finding the Third Proportional to 111,577 and 169,979

Step by Step Solution

1. Step 1: Write the proportion equation
   111,577 : 169,979 = 169,979 : x
2. Step 2: Convert to fraction form
   111,577/169,979 = 169,979/x
3. Step 3: Cross multiply
   111,577x = 169,979 × 169,979
4. Step 4: Simplify right side
   111,577x = 28,892,860,441
5. Step 5: Solve for x
   x = 28,892,860,441/111,577
6. Step 6: Final answer
   x = 258,949.97