Finding the Third Proportional to 108,064 and 173,629

Step by Step Solution

1. Step 1: Write the proportion equation
   108,064 : 173,629 = 173,629 : x
2. Step 2: Convert to fraction form
   108,064/173,629 = 173,629/x
3. Step 3: Cross multiply
   108,064x = 173,629 × 173,629
4. Step 4: Simplify right side
   108,064x = 30,147,029,641
5. Step 5: Solve for x
   x = 30,147,029,641/108,064
6. Step 6: Final answer
   x = 278,973.85