Finding the Third Proportional to 59,528 and 130,384

Step by Step Solution

1. Step 1: Write the proportion equation
   59,528 : 130,384 = 130,384 : x
2. Step 2: Convert to fraction form
   59,528/130,384 = 130,384/x
3. Step 3: Cross multiply
   59,528x = 130,384 × 130,384
4. Step 4: Simplify right side
   59,528x = 16,999,987,456
5. Step 5: Solve for x
   x = 16,999,987,456/59,528
6. Step 6: Final answer
   x = 285,579.68