Finding the Third Proportional to 60,786 and 126,404

Step by Step Solution

1. Step 1: Write the proportion equation
   60,786 : 126,404 = 126,404 : x
2. Step 2: Convert to fraction form
   60,786/126,404 = 126,404/x
3. Step 3: Cross multiply
   60,786x = 126,404 × 126,404
4. Step 4: Simplify right side
   60,786x = 15,977,971,216
5. Step 5: Solve for x
   x = 15,977,971,216/60,786
6. Step 6: Final answer
   x = 262,856.11