Finding the Third Proportional to 111,561 and 169,955

Step by Step Solution

1. Step 1: Write the proportion equation
   111,561 : 169,955 = 169,955 : x
2. Step 2: Convert to fraction form
   111,561/169,955 = 169,955/x
3. Step 3: Cross multiply
   111,561x = 169,955 × 169,955
4. Step 4: Simplify right side
   111,561x = 28,884,702,025
5. Step 5: Solve for x
   x = 28,884,702,025/111,561
6. Step 6: Final answer
   x = 258,913.98