Finding the Third Proportional to 71,662 and 156,960

Step by Step Solution

1. Step 1: Write the proportion equation
   71,662 : 156,960 = 156,960 : x
2. Step 2: Convert to fraction form
   71,662/156,960 = 156,960/x
3. Step 3: Cross multiply
   71,662x = 156,960 × 156,960
4. Step 4: Simplify right side
   71,662x = 24,636,441,600
5. Step 5: Solve for x
   x = 24,636,441,600/71,662
6. Step 6: Final answer
   x = 343,786.69