Finding the Third Proportional to 108,276 and 166,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,276 : 166,639.50 = 166,639.50 : x
2. Step 2: Convert to fraction form
   108,276/166,639.50 = 166,639.50/x
3. Step 3: Cross multiply
   108,276x = 166,639.50 × 166,639.50
4. Step 4: Simplify right side
   108,276x = 27,768,722,960.25
5. Step 5: Solve for x
   x = 27,768,722,960.25/108,276
6. Step 6: Final answer
   x = 256,462.40