Finding the Third Proportional to 111,574 and 169,978

Step by Step Solution

1. Step 1: Write the proportion equation
   111,574 : 169,978 = 169,978 : x
2. Step 2: Convert to fraction form
   111,574/169,978 = 169,978/x
3. Step 3: Cross multiply
   111,574x = 169,978 × 169,978
4. Step 4: Simplify right side
   111,574x = 28,892,520,484
5. Step 5: Solve for x
   x = 28,892,520,484/111,574
6. Step 6: Final answer
   x = 258,953.88