Finding the Third Proportional to 106,453 and 166,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,453 : 166,993.50 = 166,993.50 : x
2. Step 2: Convert to fraction form
   106,453/166,993.50 = 166,993.50/x
3. Step 3: Cross multiply
   106,453x = 166,993.50 × 166,993.50
4. Step 4: Simplify right side
   106,453x = 27,886,829,042.25
5. Step 5: Solve for x
   x = 27,886,829,042.25/106,453
6. Step 6: Final answer
   x = 261,963.77