Finding the Third Proportional to 104,820 and 166,059

Step by Step Solution

1. Step 1: Write the proportion equation
   104,820 : 166,059 = 166,059 : x
2. Step 2: Convert to fraction form
   104,820/166,059 = 166,059/x
3. Step 3: Cross multiply
   104,820x = 166,059 × 166,059
4. Step 4: Simplify right side
   104,820x = 27,575,591,481
5. Step 5: Solve for x
   x = 27,575,591,481/104,820
6. Step 6: Final answer
   x = 263,075.67