Finding the Third Proportional to 105,039 and 161,451

Step by Step Solution

1. Step 1: Write the proportion equation
   105,039 : 161,451 = 161,451 : x
2. Step 2: Convert to fraction form
   105,039/161,451 = 161,451/x
3. Step 3: Cross multiply
   105,039x = 161,451 × 161,451
4. Step 4: Simplify right side
   105,039x = 26,066,425,401
5. Step 5: Solve for x
   x = 26,066,425,401/105,039
6. Step 6: Final answer
   x = 248,159.50