Finding the Third Proportional to 78,894 and 173,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,894 : 173,110.50 = 173,110.50 : x
2. Step 2: Convert to fraction form
   78,894/173,110.50 = 173,110.50/x
3. Step 3: Cross multiply
   78,894x = 173,110.50 × 173,110.50
4. Step 4: Simplify right side
   78,894x = 29,967,245,210.25
5. Step 5: Solve for x
   x = 29,967,245,210.25/78,894
6. Step 6: Final answer
   x = 379,841.88