Finding the Third Proportional to 70,874 and 109,741

Step by Step Solution

1. Step 1: Write the proportion equation
   70,874 : 109,741 = 109,741 : x
2. Step 2: Convert to fraction form
   70,874/109,741 = 109,741/x
3. Step 3: Cross multiply
   70,874x = 109,741 × 109,741
4. Step 4: Simplify right side
   70,874x = 12,043,087,081
5. Step 5: Solve for x
   x = 12,043,087,081/70,874
6. Step 6: Final answer
   x = 169,922.50