Finding the Third Proportional to 117,922 and 166,320

Step by Step Solution

1. Step 1: Write the proportion equation
   117,922 : 166,320 = 166,320 : x
2. Step 2: Convert to fraction form
   117,922/166,320 = 166,320/x
3. Step 3: Cross multiply
   117,922x = 166,320 × 166,320
4. Step 4: Simplify right side
   117,922x = 27,662,342,400
5. Step 5: Solve for x
   x = 27,662,342,400/117,922
6. Step 6: Final answer
   x = 234,581.69