Finding the Third Proportional to 70,478 and 105,170

Step by Step Solution

1. Step 1: Write the proportion equation
   70,478 : 105,170 = 105,170 : x
2. Step 2: Convert to fraction form
   70,478/105,170 = 105,170/x
3. Step 3: Cross multiply
   70,478x = 105,170 × 105,170
4. Step 4: Simplify right side
   70,478x = 11,060,728,900
5. Step 5: Solve for x
   x = 11,060,728,900/70,478
6. Step 6: Final answer
   x = 156,938.75