Finding the Third Proportional to 104,905 and 166,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   104,905 : 166,366.50 = 166,366.50 : x
2. Step 2: Convert to fraction form
   104,905/166,366.50 = 166,366.50/x
3. Step 3: Cross multiply
   104,905x = 166,366.50 × 166,366.50
4. Step 4: Simplify right side
   104,905x = 27,677,812,322.25
5. Step 5: Solve for x
   x = 27,677,812,322.25/104,905
6. Step 6: Final answer
   x = 263,836.92