Finding the Third Proportional to 61,668 and 132,072

Step by Step Solution

1. Step 1: Write the proportion equation
   61,668 : 132,072 = 132,072 : x
2. Step 2: Convert to fraction form
   61,668/132,072 = 132,072/x
3. Step 3: Cross multiply
   61,668x = 132,072 × 132,072
4. Step 4: Simplify right side
   61,668x = 17,443,013,184
5. Step 5: Solve for x
   x = 17,443,013,184/61,668
6. Step 6: Final answer
   x = 282,853.56