Finding the Third Proportional to 109,096 and 166,816

Step by Step Solution

1. Step 1: Write the proportion equation
   109,096 : 166,816 = 166,816 : x
2. Step 2: Convert to fraction form
   109,096/166,816 = 166,816/x
3. Step 3: Cross multiply
   109,096x = 166,816 × 166,816
4. Step 4: Simplify right side
   109,096x = 27,827,577,856
5. Step 5: Solve for x
   x = 27,827,577,856/109,096
6. Step 6: Final answer
   x = 255,074.23