Finding the Third Proportional to 40,104 and 81,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,104 : 81,181.50 = 81,181.50 : x
2. Step 2: Convert to fraction form
   40,104/81,181.50 = 81,181.50/x
3. Step 3: Cross multiply
   40,104x = 81,181.50 × 81,181.50
4. Step 4: Simplify right side
   40,104x = 6,590,435,942.25
5. Step 5: Solve for x
   x = 6,590,435,942.25/40,104
6. Step 6: Final answer
   x = 164,333.63