Finding the Third Proportional to 105,024 and 166,296

Step by Step Solution

1. Step 1: Write the proportion equation
   105,024 : 166,296 = 166,296 : x
2. Step 2: Convert to fraction form
   105,024/166,296 = 166,296/x
3. Step 3: Cross multiply
   105,024x = 166,296 × 166,296
4. Step 4: Simplify right side
   105,024x = 27,654,359,616
5. Step 5: Solve for x
   x = 27,654,359,616/105,024
6. Step 6: Final answer
   x = 263,314.67