Finding the Third Proportional to 45,678 and 70,689

Step by Step Solution

1. Step 1: Write the proportion equation
   45,678 : 70,689 = 70,689 : x
2. Step 2: Convert to fraction form
   45,678/70,689 = 70,689/x
3. Step 3: Cross multiply
   45,678x = 70,689 × 70,689
4. Step 4: Simplify right side
   45,678x = 4,996,934,721
5. Step 5: Solve for x
   x = 4,996,934,721/45,678
6. Step 6: Final answer
   x = 109,394.78