Finding the Third Proportional to 81,780.50 and 166,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,780.50 : 166,568.50 = 166,568.50 : x
2. Step 2: Convert to fraction form
   81,780.50/166,568.50 = 166,568.50/x
3. Step 3: Cross multiply
   81,780.50x = 166,568.50 × 166,568.50
4. Step 4: Simplify right side
   81,780.50x = 27,745,065,192.25
5. Step 5: Solve for x
   x = 27,745,065,192.25/81,780.50
6. Step 6: Final answer
   x = 339,262.60