Finding the Third Proportional to 61,568 and 132,856

Step by Step Solution

1. Step 1: Write the proportion equation
   61,568 : 132,856 = 132,856 : x
2. Step 2: Convert to fraction form
   61,568/132,856 = 132,856/x
3. Step 3: Cross multiply
   61,568x = 132,856 × 132,856
4. Step 4: Simplify right side
   61,568x = 17,650,716,736
5. Step 5: Solve for x
   x = 17,650,716,736/61,568
6. Step 6: Final answer
   x = 286,686.54