Finding the Third Proportional to 78,849 and 170,334

Step by Step Solution

1. Step 1: Write the proportion equation
   78,849 : 170,334 = 170,334 : x
2. Step 2: Convert to fraction form
   78,849/170,334 = 170,334/x
3. Step 3: Cross multiply
   78,849x = 170,334 × 170,334
4. Step 4: Simplify right side
   78,849x = 29,013,671,556
5. Step 5: Solve for x
   x = 29,013,671,556/78,849
6. Step 6: Final answer
   x = 367,964.99