Finding the Third Proportional to 70,922 and 145,496

Step by Step Solution

1. Step 1: Write the proportion equation
   70,922 : 145,496 = 145,496 : x
2. Step 2: Convert to fraction form
   70,922/145,496 = 145,496/x
3. Step 3: Cross multiply
   70,922x = 145,496 × 145,496
4. Step 4: Simplify right side
   70,922x = 21,169,086,016
5. Step 5: Solve for x
   x = 21,169,086,016/70,922
6. Step 6: Final answer
   x = 298,484.05