Finding the Third Proportional to 40,041 and 83,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,041 : 83,239.50 = 83,239.50 : x
2. Step 2: Convert to fraction form
   40,041/83,239.50 = 83,239.50/x
3. Step 3: Cross multiply
   40,041x = 83,239.50 × 83,239.50
4. Step 4: Simplify right side
   40,041x = 6,928,814,360.25
5. Step 5: Solve for x
   x = 6,928,814,360.25/40,041
6. Step 6: Final answer
   x = 173,042.99