Finding the Third Proportional to 72,684 and 162,374

Step by Step Solution

1. Step 1: Write the proportion equation
   72,684 : 162,374 = 162,374 : x
2. Step 2: Convert to fraction form
   72,684/162,374 = 162,374/x
3. Step 3: Cross multiply
   72,684x = 162,374 × 162,374
4. Step 4: Simplify right side
   72,684x = 26,365,315,876
5. Step 5: Solve for x
   x = 26,365,315,876/72,684
6. Step 6: Final answer
   x = 362,738.92