Finding the Third Proportional to 103,978 and 167,451

Step by Step Solution

1. Step 1: Write the proportion equation
   103,978 : 167,451 = 167,451 : x
2. Step 2: Convert to fraction form
   103,978/167,451 = 167,451/x
3. Step 3: Cross multiply
   103,978x = 167,451 × 167,451
4. Step 4: Simplify right side
   103,978x = 28,039,837,401
5. Step 5: Solve for x
   x = 28,039,837,401/103,978
6. Step 6: Final answer
   x = 269,670.87