Finding the Third Proportional to 111,022 and 171,838

Step by Step Solution

1. Step 1: Write the proportion equation
   111,022 : 171,838 = 171,838 : x
2. Step 2: Convert to fraction form
   111,022/171,838 = 171,838/x
3. Step 3: Cross multiply
   111,022x = 171,838 × 171,838
4. Step 4: Simplify right side
   111,022x = 29,528,298,244
5. Step 5: Solve for x
   x = 29,528,298,244/111,022
6. Step 6: Final answer
   x = 265,967.99