Finding the Third Proportional to 64,900 and 132,872

Step by Step Solution

1. Step 1: Write the proportion equation
   64,900 : 132,872 = 132,872 : x
2. Step 2: Convert to fraction form
   64,900/132,872 = 132,872/x
3. Step 3: Cross multiply
   64,900x = 132,872 × 132,872
4. Step 4: Simplify right side
   64,900x = 17,654,968,384
5. Step 5: Solve for x
   x = 17,654,968,384/64,900
6. Step 6: Final answer
   x = 272,033.41