Finding the Third Proportional to 61,686 and 132,116

Step by Step Solution

1. Step 1: Write the proportion equation
   61,686 : 132,116 = 132,116 : x
2. Step 2: Convert to fraction form
   61,686/132,116 = 132,116/x
3. Step 3: Cross multiply
   61,686x = 132,116 × 132,116
4. Step 4: Simplify right side
   61,686x = 17,454,637,456
5. Step 5: Solve for x
   x = 17,454,637,456/61,686
6. Step 6: Final answer
   x = 282,959.46