Finding the Third Proportional to 111,567 and 169,967

Step by Step Solution

1. Step 1: Write the proportion equation
   111,567 : 169,967 = 169,967 : x
2. Step 2: Convert to fraction form
   111,567/169,967 = 169,967/x
3. Step 3: Cross multiply
   111,567x = 169,967 × 169,967
4. Step 4: Simplify right side
   111,567x = 28,888,781,089
5. Step 5: Solve for x
   x = 28,888,781,089/111,567
6. Step 6: Final answer
   x = 258,936.61