Finding the Third Proportional to 111,922 and 166,624

Step by Step Solution

1. Step 1: Write the proportion equation
   111,922 : 166,624 = 166,624 : x
2. Step 2: Convert to fraction form
   111,922/166,624 = 166,624/x
3. Step 3: Cross multiply
   111,922x = 166,624 × 166,624
4. Step 4: Simplify right side
   111,922x = 27,763,557,376
5. Step 5: Solve for x
   x = 27,763,557,376/111,922
6. Step 6: Final answer
   x = 248,061.66