Finding the Third Proportional to 108,185 and 166,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,185 : 166,389.50 = 166,389.50 : x
2. Step 2: Convert to fraction form
   108,185/166,389.50 = 166,389.50/x
3. Step 3: Cross multiply
   108,185x = 166,389.50 × 166,389.50
4. Step 4: Simplify right side
   108,185x = 27,685,465,710.25
5. Step 5: Solve for x
   x = 27,685,465,710.25/108,185
6. Step 6: Final answer
   x = 255,908.54