Finding the Third Proportional to 106,866 and 166,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,866 : 166,132.50 = 166,132.50 : x
2. Step 2: Convert to fraction form
   106,866/166,132.50 = 166,132.50/x
3. Step 3: Cross multiply
   106,866x = 166,132.50 × 166,132.50
4. Step 4: Simplify right side
   106,866x = 27,600,007,556.25
5. Step 5: Solve for x
   x = 27,600,007,556.25/106,866
6. Step 6: Final answer
   x = 258,267.43