Finding the Third Proportional to 106,819.50 and 166,060.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,819.50 : 166,060.50 = 166,060.50 : x
2. Step 2: Convert to fraction form
   106,819.50/166,060.50 = 166,060.50/x
3. Step 3: Cross multiply
   106,819.50x = 166,060.50 × 166,060.50
4. Step 4: Simplify right side
   106,819.50x = 27,576,089,660.25
5. Step 5: Solve for x
   x = 27,576,089,660.25/106,819.50
6. Step 6: Final answer
   x = 258,155.95