Finding the Third Proportional to 111,823 and 173,080

Step by Step Solution

1. Step 1: Write the proportion equation
   111,823 : 173,080 = 173,080 : x
2. Step 2: Convert to fraction form
   111,823/173,080 = 173,080/x
3. Step 3: Cross multiply
   111,823x = 173,080 × 173,080
4. Step 4: Simplify right side
   111,823x = 29,956,686,400
5. Step 5: Solve for x
   x = 29,956,686,400/111,823
6. Step 6: Final answer
   x = 267,893.78