Finding the Third Proportional to 59,198 and 90,559

Step by Step Solution

1. Step 1: Write the proportion equation
   59,198 : 90,559 = 90,559 : x
2. Step 2: Convert to fraction form
   59,198/90,559 = 90,559/x
3. Step 3: Cross multiply
   59,198x = 90,559 × 90,559
4. Step 4: Simplify right side
   59,198x = 8,200,932,481
5. Step 5: Solve for x
   x = 8,200,932,481/59,198
6. Step 6: Final answer
   x = 138,533.95