Finding the Third Proportional to 111,924 and 166,627

Step by Step Solution

1. Step 1: Write the proportion equation
   111,924 : 166,627 = 166,627 : x
2. Step 2: Convert to fraction form
   111,924/166,627 = 166,627/x
3. Step 3: Cross multiply
   111,924x = 166,627 × 166,627
4. Step 4: Simplify right side
   111,924x = 27,764,557,129
5. Step 5: Solve for x
   x = 27,764,557,129/111,924
6. Step 6: Final answer
   x = 248,066.16