Finding the Third Proportional to 106,821 and 166,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,821 : 166,063.50 = 166,063.50 : x
2. Step 2: Convert to fraction form
   106,821/166,063.50 = 166,063.50/x
3. Step 3: Cross multiply
   106,821x = 166,063.50 × 166,063.50
4. Step 4: Simplify right side
   106,821x = 27,577,086,032.25
5. Step 5: Solve for x
   x = 27,577,086,032.25/106,821
6. Step 6: Final answer
   x = 258,161.65