Finding the Third Proportional to 111,986 and 161,355

Step by Step Solution

1. Step 1: Write the proportion equation
   111,986 : 161,355 = 161,355 : x
2. Step 2: Convert to fraction form
   111,986/161,355 = 161,355/x
3. Step 3: Cross multiply
   111,986x = 161,355 × 161,355
4. Step 4: Simplify right side
   111,986x = 26,035,436,025
5. Step 5: Solve for x
   x = 26,035,436,025/111,986
6. Step 6: Final answer
   x = 232,488.31