Finding the Third Proportional to 59,584 and 130,976

Step by Step Solution

1. Step 1: Write the proportion equation
   59,584 : 130,976 = 130,976 : x
2. Step 2: Convert to fraction form
   59,584/130,976 = 130,976/x
3. Step 3: Cross multiply
   59,584x = 130,976 × 130,976
4. Step 4: Simplify right side
   59,584x = 17,154,712,576
5. Step 5: Solve for x
   x = 17,154,712,576/59,584
6. Step 6: Final answer
   x = 287,908.04