Finding the Third Proportional to 61,686 and 132,114

Step by Step Solution

1. Step 1: Write the proportion equation
   61,686 : 132,114 = 132,114 : x
2. Step 2: Convert to fraction form
   61,686/132,114 = 132,114/x
3. Step 3: Cross multiply
   61,686x = 132,114 × 132,114
4. Step 4: Simplify right side
   61,686x = 17,454,108,996
5. Step 5: Solve for x
   x = 17,454,108,996/61,686
6. Step 6: Final answer
   x = 282,950.90