Finding the Third Proportional to 109,200 and 166,956

Step by Step Solution

1. Step 1: Write the proportion equation
   109,200 : 166,956 = 166,956 : x
2. Step 2: Convert to fraction form
   109,200/166,956 = 166,956/x
3. Step 3: Cross multiply
   109,200x = 166,956 × 166,956
4. Step 4: Simplify right side
   109,200x = 27,874,305,936
5. Step 5: Solve for x
   x = 27,874,305,936/109,200
6. Step 6: Final answer
   x = 255,259.21