Finding the Third Proportional to 61,743 and 132,846

Step by Step Solution

1. Step 1: Write the proportion equation
   61,743 : 132,846 = 132,846 : x
2. Step 2: Convert to fraction form
   61,743/132,846 = 132,846/x
3. Step 3: Cross multiply
   61,743x = 132,846 × 132,846
4. Step 4: Simplify right side
   61,743x = 17,648,059,716
5. Step 5: Solve for x
   x = 17,648,059,716/61,743
6. Step 6: Final answer
   x = 285,830.94