Finding the Third Proportional to 83,585 and 179,590

Step by Step Solution

1. Step 1: Write the proportion equation
   83,585 : 179,590 = 179,590 : x
2. Step 2: Convert to fraction form
   83,585/179,590 = 179,590/x
3. Step 3: Cross multiply
   83,585x = 179,590 × 179,590
4. Step 4: Simplify right side
   83,585x = 32,252,568,100
5. Step 5: Solve for x
   x = 32,252,568,100/83,585
6. Step 6: Final answer
   x = 385,865.50