Finding the Third Proportional to 117,922 and 166,322

Step by Step Solution

1. Step 1: Write the proportion equation
   117,922 : 166,322 = 166,322 : x
2. Step 2: Convert to fraction form
   117,922/166,322 = 166,322/x
3. Step 3: Cross multiply
   117,922x = 166,322 × 166,322
4. Step 4: Simplify right side
   117,922x = 27,663,007,684
5. Step 5: Solve for x
   x = 27,663,007,684/117,922
6. Step 6: Final answer
   x = 234,587.33