Finding the Third Proportional to 109,203 and 166,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,203 : 166,960.50 = 166,960.50 : x
2. Step 2: Convert to fraction form
   109,203/166,960.50 = 166,960.50/x
3. Step 3: Cross multiply
   109,203x = 166,960.50 × 166,960.50
4. Step 4: Simplify right side
   109,203x = 27,875,808,560.25
5. Step 5: Solve for x
   x = 27,875,808,560.25/109,203
6. Step 6: Final answer
   x = 255,265.96