Finding the Third Proportional to 60,338 and 126,184

Step by Step Solution

1. Step 1: Write the proportion equation
   60,338 : 126,184 = 126,184 : x
2. Step 2: Convert to fraction form
   60,338/126,184 = 126,184/x
3. Step 3: Cross multiply
   60,338x = 126,184 × 126,184
4. Step 4: Simplify right side
   60,338x = 15,922,401,856
5. Step 5: Solve for x
   x = 15,922,401,856/60,338
6. Step 6: Final answer
   x = 263,886.80