Finding the Third Proportional to 108,580 and 166,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,580 : 166,099.50 = 166,099.50 : x
2. Step 2: Convert to fraction form
   108,580/166,099.50 = 166,099.50/x
3. Step 3: Cross multiply
   108,580x = 166,099.50 × 166,099.50
4. Step 4: Simplify right side
   108,580x = 27,589,043,900.25
5. Step 5: Solve for x
   x = 27,589,043,900.25/108,580
6. Step 6: Final answer
   x = 254,089.56