Finding the Third Proportional to 59,680 and 130,016

Step by Step Solution

1. Step 1: Write the proportion equation
   59,680 : 130,016 = 130,016 : x
2. Step 2: Convert to fraction form
   59,680/130,016 = 130,016/x
3. Step 3: Cross multiply
   59,680x = 130,016 × 130,016
4. Step 4: Simplify right side
   59,680x = 16,904,160,256
5. Step 5: Solve for x
   x = 16,904,160,256/59,680
6. Step 6: Final answer
   x = 283,246.65