Finding the Third Proportional to 109,268 and 166,820

Step by Step Solution

1. Step 1: Write the proportion equation
   109,268 : 166,820 = 166,820 : x
2. Step 2: Convert to fraction form
   109,268/166,820 = 166,820/x
3. Step 3: Cross multiply
   109,268x = 166,820 × 166,820
4. Step 4: Simplify right side
   109,268x = 27,828,912,400
5. Step 5: Solve for x
   x = 27,828,912,400/109,268
6. Step 6: Final answer
   x = 254,684.93