Finding the Third Proportional to 79,638 and 174,585

Step by Step Solution

1. Step 1: Write the proportion equation
   79,638 : 174,585 = 174,585 : x
2. Step 2: Convert to fraction form
   79,638/174,585 = 174,585/x
3. Step 3: Cross multiply
   79,638x = 174,585 × 174,585
4. Step 4: Simplify right side
   79,638x = 30,479,922,225
5. Step 5: Solve for x
   x = 30,479,922,225/79,638
6. Step 6: Final answer
   x = 382,730.89