Finding the Third Proportional to 70,826 and 106,404

Step by Step Solution

1. Step 1: Write the proportion equation
   70,826 : 106,404 = 106,404 : x
2. Step 2: Convert to fraction form
   70,826/106,404 = 106,404/x
3. Step 3: Cross multiply
   70,826x = 106,404 × 106,404
4. Step 4: Simplify right side
   70,826x = 11,321,811,216
5. Step 5: Solve for x
   x = 11,321,811,216/70,826
6. Step 6: Final answer
   x = 159,853.88