Finding the Third Proportional to 78,356 and 169,834

Step by Step Solution

1. Step 1: Write the proportion equation
   78,356 : 169,834 = 169,834 : x
2. Step 2: Convert to fraction form
   78,356/169,834 = 169,834/x
3. Step 3: Cross multiply
   78,356x = 169,834 × 169,834
4. Step 4: Simplify right side
   78,356x = 28,843,587,556
5. Step 5: Solve for x
   x = 28,843,587,556/78,356
6. Step 6: Final answer
   x = 368,109.49