Finding the Third Proportional to 59,538 and 130,980

Step by Step Solution

1. Step 1: Write the proportion equation
   59,538 : 130,980 = 130,980 : x
2. Step 2: Convert to fraction form
   59,538/130,980 = 130,980/x
3. Step 3: Cross multiply
   59,538x = 130,980 × 130,980
4. Step 4: Simplify right side
   59,538x = 17,155,760,400
5. Step 5: Solve for x
   x = 17,155,760,400/59,538
6. Step 6: Final answer
   x = 288,148.08