Finding the Third Proportional to 105,633 and 166,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,633 : 166,002.75 = 166,002.75 : x
2. Step 2: Convert to fraction form
   105,633/166,002.75 = 166,002.75/x
3. Step 3: Cross multiply
   105,633x = 166,002.75 × 166,002.75
4. Step 4: Simplify right side
   105,633x = 27,556,913,007.56
5. Step 5: Solve for x
   x = 27,556,913,007.56/105,633
6. Step 6: Final answer
   x = 260,874.09