Finding the Third Proportional to 51,034 and 109,451

Step by Step Solution

1. Step 1: Write the proportion equation
   51,034 : 109,451 = 109,451 : x
2. Step 2: Convert to fraction form
   51,034/109,451 = 109,451/x
3. Step 3: Cross multiply
   51,034x = 109,451 × 109,451
4. Step 4: Simplify right side
   51,034x = 11,979,521,401
5. Step 5: Solve for x
   x = 11,979,521,401/51,034
6. Step 6: Final answer
   x = 234,736.09