Finding the Third Proportional to 105,667 and 166,053

Step by Step Solution

1. Step 1: Write the proportion equation
   105,667 : 166,053 = 166,053 : x
2. Step 2: Convert to fraction form
   105,667/166,053 = 166,053/x
3. Step 3: Cross multiply
   105,667x = 166,053 × 166,053
4. Step 4: Simplify right side
   105,667x = 27,573,598,809
5. Step 5: Solve for x
   x = 27,573,598,809/105,667
6. Step 6: Final answer
   x = 260,948.06