Finding the Third Proportional to 109,289 and 173,780

Step by Step Solution

1. Step 1: Write the proportion equation
   109,289 : 173,780 = 173,780 : x
2. Step 2: Convert to fraction form
   109,289/173,780 = 173,780/x
3. Step 3: Cross multiply
   109,289x = 173,780 × 173,780
4. Step 4: Simplify right side
   109,289x = 30,199,488,400
5. Step 5: Solve for x
   x = 30,199,488,400/109,289
6. Step 6: Final answer
   x = 276,326.88