Finding the Third Proportional to 59,696 and 129,760

Step by Step Solution

1. Step 1: Write the proportion equation
   59,696 : 129,760 = 129,760 : x
2. Step 2: Convert to fraction form
   59,696/129,760 = 129,760/x
3. Step 3: Cross multiply
   59,696x = 129,760 × 129,760
4. Step 4: Simplify right side
   59,696x = 16,837,657,600
5. Step 5: Solve for x
   x = 16,837,657,600/59,696
6. Step 6: Final answer
   x = 282,056.71