Finding the Third Proportional to 108,876 and 166,554

Step by Step Solution

1. Step 1: Write the proportion equation
   108,876 : 166,554 = 166,554 : x
2. Step 2: Convert to fraction form
   108,876/166,554 = 166,554/x
3. Step 3: Cross multiply
   108,876x = 166,554 × 166,554
4. Step 4: Simplify right side
   108,876x = 27,740,234,916
5. Step 5: Solve for x
   x = 27,740,234,916/108,876
6. Step 6: Final answer
   x = 254,787.42