Finding the Third Proportional to 80,913.50 and 165,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,913.50 : 165,039.50 = 165,039.50 : x
2. Step 2: Convert to fraction form
   80,913.50/165,039.50 = 165,039.50/x
3. Step 3: Cross multiply
   80,913.50x = 165,039.50 × 165,039.50
4. Step 4: Simplify right side
   80,913.50x = 27,238,036,560.25
5. Step 5: Solve for x
   x = 27,238,036,560.25/80,913.50
6. Step 6: Final answer
   x = 336,631.55