Finding the Third Proportional to 61,096 and 132,144

Step by Step Solution

1. Step 1: Write the proportion equation
   61,096 : 132,144 = 132,144 : x
2. Step 2: Convert to fraction form
   61,096/132,144 = 132,144/x
3. Step 3: Cross multiply
   61,096x = 132,144 × 132,144
4. Step 4: Simplify right side
   61,096x = 17,462,036,736
5. Step 5: Solve for x
   x = 17,462,036,736/61,096
6. Step 6: Final answer
   x = 285,813.09