Finding the Third Proportional to 78,584 and 169,626

Step by Step Solution

1. Step 1: Write the proportion equation
   78,584 : 169,626 = 169,626 : x
2. Step 2: Convert to fraction form
   78,584/169,626 = 169,626/x
3. Step 3: Cross multiply
   78,584x = 169,626 × 169,626
4. Step 4: Simplify right side
   78,584x = 28,772,979,876
5. Step 5: Solve for x
   x = 28,772,979,876/78,584
6. Step 6: Final answer
   x = 366,142.98