Finding the Third Proportional to 70,840 and 145,834

Step by Step Solution

1. Step 1: Write the proportion equation
   70,840 : 145,834 = 145,834 : x
2. Step 2: Convert to fraction form
   70,840/145,834 = 145,834/x
3. Step 3: Cross multiply
   70,840x = 145,834 × 145,834
4. Step 4: Simplify right side
   70,840x = 21,267,555,556
5. Step 5: Solve for x
   x = 21,267,555,556/70,840
6. Step 6: Final answer
   x = 300,219.59