Finding the Third Proportional to 72,684 and 156,825

Step by Step Solution

1. Step 1: Write the proportion equation
   72,684 : 156,825 = 156,825 : x
2. Step 2: Convert to fraction form
   72,684/156,825 = 156,825/x
3. Step 3: Cross multiply
   72,684x = 156,825 × 156,825
4. Step 4: Simplify right side
   72,684x = 24,594,080,625
5. Step 5: Solve for x
   x = 24,594,080,625/72,684
6. Step 6: Final answer
   x = 338,369.94