Finding the Third Proportional to 72,684 and 155,736

Step by Step Solution

1. Step 1: Write the proportion equation
   72,684 : 155,736 = 155,736 : x
2. Step 2: Convert to fraction form
   72,684/155,736 = 155,736/x
3. Step 3: Cross multiply
   72,684x = 155,736 × 155,736
4. Step 4: Simplify right side
   72,684x = 24,253,701,696
5. Step 5: Solve for x
   x = 24,253,701,696/72,684
6. Step 6: Final answer
   x = 333,686.94