Finding the Third Proportional to 117,684 and 179,605

Step by Step Solution

1. Step 1: Write the proportion equation
   117,684 : 179,605 = 179,605 : x
2. Step 2: Convert to fraction form
   117,684/179,605 = 179,605/x
3. Step 3: Cross multiply
   117,684x = 179,605 × 179,605
4. Step 4: Simplify right side
   117,684x = 32,257,956,025
5. Step 5: Solve for x
   x = 32,257,956,025/117,684
6. Step 6: Final answer
   x = 274,106.56