Finding the Third Proportional to 82,039 and 193,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,039 : 193,161.50 = 193,161.50 : x
2. Step 2: Convert to fraction form
   82,039/193,161.50 = 193,161.50/x
3. Step 3: Cross multiply
   82,039x = 193,161.50 × 193,161.50
4. Step 4: Simplify right side
   82,039x = 37,311,365,082.25
5. Step 5: Solve for x
   x = 37,311,365,082.25/82,039
6. Step 6: Final answer
   x = 454,800.34