Finding the Third Proportional to 64,274 and 132,648

Step by Step Solution

1. Step 1: Write the proportion equation
   64,274 : 132,648 = 132,648 : x
2. Step 2: Convert to fraction form
   64,274/132,648 = 132,648/x
3. Step 3: Cross multiply
   64,274x = 132,648 × 132,648
4. Step 4: Simplify right side
   64,274x = 17,595,491,904
5. Step 5: Solve for x
   x = 17,595,491,904/64,274
6. Step 6: Final answer
   x = 273,757.54