Finding the Third Proportional to 104,823 and 166,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   104,823 : 166,063.50 = 166,063.50 : x
2. Step 2: Convert to fraction form
   104,823/166,063.50 = 166,063.50/x
3. Step 3: Cross multiply
   104,823x = 166,063.50 × 166,063.50
4. Step 4: Simplify right side
   104,823x = 27,577,086,032.25
5. Step 5: Solve for x
   x = 27,577,086,032.25/104,823
6. Step 6: Final answer
   x = 263,082.40