Finding the Third Proportional to 109,096 and 166,812

Step by Step Solution

1. Step 1: Write the proportion equation
   109,096 : 166,812 = 166,812 : x
2. Step 2: Convert to fraction form
   109,096/166,812 = 166,812/x
3. Step 3: Cross multiply
   109,096x = 166,812 × 166,812
4. Step 4: Simplify right side
   109,096x = 27,826,243,344
5. Step 5: Solve for x
   x = 27,826,243,344/109,096
6. Step 6: Final answer
   x = 255,061.99