Finding the Third Proportional to 108,970 and 166,626

Step by Step Solution

1. Step 1: Write the proportion equation
   108,970 : 166,626 = 166,626 : x
2. Step 2: Convert to fraction form
   108,970/166,626 = 166,626/x
3. Step 3: Cross multiply
   108,970x = 166,626 × 166,626
4. Step 4: Simplify right side
   108,970x = 27,764,223,876
5. Step 5: Solve for x
   x = 27,764,223,876/108,970
6. Step 6: Final answer
   x = 254,787.78