Finding the Third Proportional to 111,565 and 169,962

Step by Step Solution

1. Step 1: Write the proportion equation
   111,565 : 169,962 = 169,962 : x
2. Step 2: Convert to fraction form
   111,565/169,962 = 169,962/x
3. Step 3: Cross multiply
   111,565x = 169,962 × 169,962
4. Step 4: Simplify right side
   111,565x = 28,887,081,444
5. Step 5: Solve for x
   x = 28,887,081,444/111,565
6. Step 6: Final answer
   x = 258,926.02