Finding the Third Proportional to 59,666 and 129,846

Step by Step Solution

1. Step 1: Write the proportion equation
   59,666 : 129,846 = 129,846 : x
2. Step 2: Convert to fraction form
   59,666/129,846 = 129,846/x
3. Step 3: Cross multiply
   59,666x = 129,846 × 129,846
4. Step 4: Simplify right side
   59,666x = 16,859,983,716
5. Step 5: Solve for x
   x = 16,859,983,716/59,666
6. Step 6: Final answer
   x = 282,572.72