Finding the Third Proportional to 76,960 and 164,870

Step by Step Solution

1. Step 1: Write the proportion equation
   76,960 : 164,870 = 164,870 : x
2. Step 2: Convert to fraction form
   76,960/164,870 = 164,870/x
3. Step 3: Cross multiply
   76,960x = 164,870 × 164,870
4. Step 4: Simplify right side
   76,960x = 27,182,116,900
5. Step 5: Solve for x
   x = 27,182,116,900/76,960
6. Step 6: Final answer
   x = 353,197.98