Finding the Third Proportional to 105,753 and 166,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,753 : 166,147.50 = 166,147.50 : x
2. Step 2: Convert to fraction form
   105,753/166,147.50 = 166,147.50/x
3. Step 3: Cross multiply
   105,753x = 166,147.50 × 166,147.50
4. Step 4: Simplify right side
   105,753x = 27,604,991,756.25
5. Step 5: Solve for x
   x = 27,604,991,756.25/105,753
6. Step 6: Final answer
   x = 261,032.71