Finding the Third Proportional to 41,193 and 90,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,193 : 90,406.50 = 90,406.50 : x
2. Step 2: Convert to fraction form
   41,193/90,406.50 = 90,406.50/x
3. Step 3: Cross multiply
   41,193x = 90,406.50 × 90,406.50
4. Step 4: Simplify right side
   41,193x = 8,173,335,242.25
5. Step 5: Solve for x
   x = 8,173,335,242.25/41,193
6. Step 6: Final answer
   x = 198,415.63