Finding the Third Proportional to 105,033 and 166,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,033 : 166,309.50 = 166,309.50 : x
2. Step 2: Convert to fraction form
   105,033/166,309.50 = 166,309.50/x
3. Step 3: Cross multiply
   105,033x = 166,309.50 × 166,309.50
4. Step 4: Simplify right side
   105,033x = 27,658,849,790.25
5. Step 5: Solve for x
   x = 27,658,849,790.25/105,033
6. Step 6: Final answer
   x = 263,334.85