Finding the Third Proportional to 111,561 and 169,956

Step by Step Solution

1. Step 1: Write the proportion equation
   111,561 : 169,956 = 169,956 : x
2. Step 2: Convert to fraction form
   111,561/169,956 = 169,956/x
3. Step 3: Cross multiply
   111,561x = 169,956 × 169,956
4. Step 4: Simplify right side
   111,561x = 28,885,041,936
5. Step 5: Solve for x
   x = 28,885,041,936/111,561
6. Step 6: Final answer
   x = 258,917.02