Finding the Third Proportional to 116,969 and 166,705

Step by Step Solution

1. Step 1: Write the proportion equation
   116,969 : 166,705 = 166,705 : x
2. Step 2: Convert to fraction form
   116,969/166,705 = 166,705/x
3. Step 3: Cross multiply
   116,969x = 166,705 × 166,705
4. Step 4: Simplify right side
   116,969x = 27,790,557,025
5. Step 5: Solve for x
   x = 27,790,557,025/116,969
6. Step 6: Final answer
   x = 237,589.08