Finding the Third Proportional to 61,648 and 126,216

Step by Step Solution

1. Step 1: Write the proportion equation
   61,648 : 126,216 = 126,216 : x
2. Step 2: Convert to fraction form
   61,648/126,216 = 126,216/x
3. Step 3: Cross multiply
   61,648x = 126,216 × 126,216
4. Step 4: Simplify right side
   61,648x = 15,930,478,656
5. Step 5: Solve for x
   x = 15,930,478,656/61,648
6. Step 6: Final answer
   x = 258,410.31