Finding the Third Proportional to 79,500 and 173,564

Step by Step Solution

1. Step 1: Write the proportion equation
   79,500 : 173,564 = 173,564 : x
2. Step 2: Convert to fraction form
   79,500/173,564 = 173,564/x
3. Step 3: Cross multiply
   79,500x = 173,564 × 173,564
4. Step 4: Simplify right side
   79,500x = 30,124,462,096
5. Step 5: Solve for x
   x = 30,124,462,096/79,500
6. Step 6: Final answer
   x = 378,924.05