Finding the Third Proportional to 107,055 and 166,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,055 : 166,510.50 = 166,510.50 : x
2. Step 2: Convert to fraction form
   107,055/166,510.50 = 166,510.50/x
3. Step 3: Cross multiply
   107,055x = 166,510.50 × 166,510.50
4. Step 4: Simplify right side
   107,055x = 27,725,746,610.25
5. Step 5: Solve for x
   x = 27,725,746,610.25/107,055
6. Step 6: Final answer
   x = 258,986.00