Finding the Third Proportional to 59,826 and 130,519

Step by Step Solution

1. Step 1: Write the proportion equation
   59,826 : 130,519 = 130,519 : x
2. Step 2: Convert to fraction form
   59,826/130,519 = 130,519/x
3. Step 3: Cross multiply
   59,826x = 130,519 × 130,519
4. Step 4: Simplify right side
   59,826x = 17,035,209,361
5. Step 5: Solve for x
   x = 17,035,209,361/59,826
6. Step 6: Final answer
   x = 284,745.92