Finding the Third Proportional to 111,002 and 166,431

Step by Step Solution

1. Step 1: Write the proportion equation
   111,002 : 166,431 = 166,431 : x
2. Step 2: Convert to fraction form
   111,002/166,431 = 166,431/x
3. Step 3: Cross multiply
   111,002x = 166,431 × 166,431
4. Step 4: Simplify right side
   111,002x = 27,699,277,761
5. Step 5: Solve for x
   x = 27,699,277,761/111,002
6. Step 6: Final answer
   x = 249,538.55