Finding the Third Proportional to 59,198 and 90,558

Step by Step Solution

1. Step 1: Write the proportion equation
   59,198 : 90,558 = 90,558 : x
2. Step 2: Convert to fraction form
   59,198/90,558 = 90,558/x
3. Step 3: Cross multiply
   59,198x = 90,558 × 90,558
4. Step 4: Simplify right side
   59,198x = 8,200,751,364
5. Step 5: Solve for x
   x = 8,200,751,364/59,198
6. Step 6: Final answer
   x = 138,530.89