Finding the Third Proportional to 40,193 and 59,116

Step by Step Solution

1. Step 1: Write the proportion equation
   40,193 : 59,116 = 59,116 : x
2. Step 2: Convert to fraction form
   40,193/59,116 = 59,116/x
3. Step 3: Cross multiply
   40,193x = 59,116 × 59,116
4. Step 4: Simplify right side
   40,193x = 3,494,701,456
5. Step 5: Solve for x
   x = 3,494,701,456/40,193
6. Step 6: Final answer
   x = 86,948.01