Finding the Third Proportional to 78,894 and 172,530

Step by Step Solution

1. Step 1: Write the proportion equation
   78,894 : 172,530 = 172,530 : x
2. Step 2: Convert to fraction form
   78,894/172,530 = 172,530/x
3. Step 3: Cross multiply
   78,894x = 172,530 × 172,530
4. Step 4: Simplify right side
   78,894x = 29,766,600,900
5. Step 5: Solve for x
   x = 29,766,600,900/78,894
6. Step 6: Final answer
   x = 377,298.67