Finding the Third Proportional to 78,834 and 169,980

Step by Step Solution

1. Step 1: Write the proportion equation
   78,834 : 169,980 = 169,980 : x
2. Step 2: Convert to fraction form
   78,834/169,980 = 169,980/x
3. Step 3: Cross multiply
   78,834x = 169,980 × 169,980
4. Step 4: Simplify right side
   78,834x = 28,893,200,400
5. Step 5: Solve for x
   x = 28,893,200,400/78,834
6. Step 6: Final answer
   x = 366,506.84