Finding the Third Proportional to 78,918 and 173,388

Step by Step Solution

1. Step 1: Write the proportion equation
   78,918 : 173,388 = 173,388 : x
2. Step 2: Convert to fraction form
   78,918/173,388 = 173,388/x
3. Step 3: Cross multiply
   78,918x = 173,388 × 173,388
4. Step 4: Simplify right side
   78,918x = 30,063,398,544
5. Step 5: Solve for x
   x = 30,063,398,544/78,918
6. Step 6: Final answer
   x = 380,944.76