Finding the Third Proportional to 105,766 and 161,998

Step by Step Solution

1. Step 1: Write the proportion equation
   105,766 : 161,998 = 161,998 : x
2. Step 2: Convert to fraction form
   105,766/161,998 = 161,998/x
3. Step 3: Cross multiply
   105,766x = 161,998 × 161,998
4. Step 4: Simplify right side
   105,766x = 26,243,352,004
5. Step 5: Solve for x
   x = 26,243,352,004/105,766
6. Step 6: Final answer
   x = 248,126.54