Finding the Third Proportional to 78,843 and 173,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,843 : 173,017.50 = 173,017.50 : x
2. Step 2: Convert to fraction form
   78,843/173,017.50 = 173,017.50/x
3. Step 3: Cross multiply
   78,843x = 173,017.50 × 173,017.50
4. Step 4: Simplify right side
   78,843x = 29,935,055,306.25
5. Step 5: Solve for x
   x = 29,935,055,306.25/78,843
6. Step 6: Final answer
   x = 379,679.30