Finding the Third Proportional to 61,665 and 132,687

Step by Step Solution

1. Step 1: Write the proportion equation
   61,665 : 132,687 = 132,687 : x
2. Step 2: Convert to fraction form
   61,665/132,687 = 132,687/x
3. Step 3: Cross multiply
   61,665x = 132,687 × 132,687
4. Step 4: Simplify right side
   61,665x = 17,605,839,969
5. Step 5: Solve for x
   x = 17,605,839,969/61,665
6. Step 6: Final answer
   x = 285,507.82