Finding the Third Proportional to 59,780 and 132,682

Step by Step Solution

1. Step 1: Write the proportion equation
   59,780 : 132,682 = 132,682 : x
2. Step 2: Convert to fraction form
   59,780/132,682 = 132,682/x
3. Step 3: Cross multiply
   59,780x = 132,682 × 132,682
4. Step 4: Simplify right side
   59,780x = 17,604,513,124
5. Step 5: Solve for x
   x = 17,604,513,124/59,780
6. Step 6: Final answer
   x = 294,488.34