Finding the Third Proportional to 60,788 and 126,407

Step by Step Solution

1. Step 1: Write the proportion equation
   60,788 : 126,407 = 126,407 : x
2. Step 2: Convert to fraction form
   60,788/126,407 = 126,407/x
3. Step 3: Cross multiply
   60,788x = 126,407 × 126,407
4. Step 4: Simplify right side
   60,788x = 15,978,729,649
5. Step 5: Solve for x
   x = 15,978,729,649/60,788
6. Step 6: Final answer
   x = 262,859.93