Finding the Third Proportional to 40,311 and 83,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,311 : 83,209.50 = 83,209.50 : x
2. Step 2: Convert to fraction form
   40,311/83,209.50 = 83,209.50/x
3. Step 3: Cross multiply
   40,311x = 83,209.50 × 83,209.50
4. Step 4: Simplify right side
   40,311x = 6,923,820,890.25
5. Step 5: Solve for x
   x = 6,923,820,890.25/40,311
6. Step 6: Final answer
   x = 171,760.09