Finding the Third Proportional to 70,678 and 109,298

Step by Step Solution

1. Step 1: Write the proportion equation
   70,678 : 109,298 = 109,298 : x
2. Step 2: Convert to fraction form
   70,678/109,298 = 109,298/x
3. Step 3: Cross multiply
   70,678x = 109,298 × 109,298
4. Step 4: Simplify right side
   70,678x = 11,946,052,804
5. Step 5: Solve for x
   x = 11,946,052,804/70,678
6. Step 6: Final answer
   x = 169,020.81