Finding the Third Proportional to 107,039.75 and 166,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,039.75 : 166,686.50 = 166,686.50 : x
2. Step 2: Convert to fraction form
   107,039.75/166,686.50 = 166,686.50/x
3. Step 3: Cross multiply
   107,039.75x = 166,686.50 × 166,686.50
4. Step 4: Simplify right side
   107,039.75x = 27,784,389,282.25
5. Step 5: Solve for x
   x = 27,784,389,282.25/107,039.75
6. Step 6: Final answer
   x = 259,570.76